457401413400 has 192 divisors, whose sum is σ = 1499156726400. Its totient is φ = 115044341760.

The previous prime is 457401413327. The next prime is 457401413407. The reversal of 457401413400 is 4314104754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457401413407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499424 + ... + 2676176.

It is an arithmetic number, because the mean of its divisors is an integer number (7808107950).

Almost surely, 2^457401413400 is an apocalyptic number.

457401413400 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 457401413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749578363200).

457401413400 is an abundant number, since it is smaller than the sum of its proper divisors (1041755313000).

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

457401413400 is a wasteful number, since it uses less digits than its factorization.

457401413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177018 (or 177009 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 457401413400 in words is "four hundred fifty-seven billion, four hundred one million, four hundred thirteen thousand, four hundred".