1025466624 has 432 divisors, whose sum is σ = 3743888512. Its totient is φ = 262766592.

The previous prime is 1025466601. The next prime is 1025466641. The reversal of 1025466624 is 4266645201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14047452 + ... + 14047524.

Almost surely, 2^1025466624 is an apocalyptic number.

1025466624 is a gapful number since it is divisible by the number (14) 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 1025466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871944256).

1025466624 is an abundant number, since it is smaller than the sum of its proper divisors (2718421888).

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

1025466624 is a wasteful number, since it uses less digits than its factorization.

1025466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1025466624 is about 32022.9078005106. The cubic root of 1025466624 is about 1008.4178162092.

The spelling of 1025466624 in words is "one billion, twenty-five million, four hundred sixty-six thousand, six hundred twenty-four".