1025497440 has 288 divisors, whose sum is σ = 3861460512. Its totient is φ = 245760000.

The previous prime is 1025497423. The next prime is 1025497493. The reversal of 1025497440 is 447945201.

It is a happy number.

1025497440 is a `hidden beast` number, since 1 + 0 + 2 + 549 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1025497395 and 1025497404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599520 + ... + 1600160.

It is an arithmetic number, because the mean of its divisors is an integer number (13407849).

Almost surely, 2^1025497440 is an apocalyptic number.

1025497440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930730256).

1025497440 is an abundant number, since it is smaller than the sum of its proper divisors (2835963072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025497440 is a wasteful number, since it uses less digits than its factorization.

1025497440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1025497440 is about 32023.3889524516. The cubic root of 1025497440 is about 1008.4279173317.

The spelling of 1025497440 in words is "one billion, twenty-five million, four hundred ninety-seven thousand, four hundred forty".