457021440 has 480 divisors, whose sum is σ = 1783782000. Its totient is φ = 111476736.

The previous prime is 457021427. The next prime is 457021441. The reversal of 457021440 is 44120754.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457021441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759346 + ... + 15759374.

Almost surely, 2^457021440 is an apocalyptic number.

457021440 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 457021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891891000).

457021440 is an abundant number, since it is smaller than the sum of its proper divisors (1326760560).

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

457021440 is a wasteful number, since it uses less digits than its factorization.

457021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 457021440 is about 21378.0597809998. The cubic root of 457021440 is about 770.2745071744.

The spelling of 457021440 in words is "four hundred fifty-seven million, twenty-one thousand, four hundred forty".