1254550440 has 256 divisors, whose sum is σ = 4575916800. Its totient is φ = 270950400.

The previous prime is 1254550369. The next prime is 1254550463. The reversal of 1254550440 is 440554521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1254550398 and 1254550407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496380 + ... + 498900.

It is an arithmetic number, because the mean of its divisors is an integer number (17874675).

Almost surely, 2^1254550440 is an apocalyptic number.

1254550440 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 1254550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287958400).

1254550440 is an abundant number, since it is smaller than the sum of its proper divisors (3321366360).

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

1254550440 is a wasteful number, since it uses less digits than its factorization.

1254550440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1254550440 is about 35419.6335384769. The cubic root of 1254550440 is about 1078.5229121593.

The spelling of 1254550440 in words is "one billion, two hundred fifty-four million, five hundred fifty thousand, four hundred forty".