457611440 has 240 divisors, whose sum is σ = 1338101856. Its totient is φ = 143769600.

The previous prime is 457611439. The next prime is 457611463. The reversal of 457611440 is 44116754.

It is a junction number, because it is equal to n+sod(n) for n = 457611397 and 457611406.

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, 2528150 + ... + 2528330.

Almost surely, 2^457611440 is an apocalyptic number.

457611440 is a gapful number since it is divisible by the number (40) 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 457611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669050928).

457611440 is an abundant number, since it is smaller than the sum of its proper divisors (880490416).

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

457611440 is a wasteful number, since it uses less digits than its factorization.

457611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 457611440 is about 21391.8545245614. The cubic root of 457611440 is about 770.6058311885.

The spelling of 457611440 in words is "four hundred fifty-seven million, six hundred eleven thousand, four hundred forty".