457854072 has 64 divisors (see below), whose sum is σ = 1258951680. Its totient is φ = 137876352.

The previous prime is 457854053. The next prime is 457854083. The reversal of 457854072 is 270458754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948 + ... + 30275.

It is an arithmetic number, because the mean of its divisors is an integer number (19671120).

Almost surely, 2^457854072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457854072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629475840).

457854072 is an abundant number, since it is smaller than the sum of its proper divisors (801097608).

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

457854072 is a wasteful number, since it uses less digits than its factorization.

457854072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31292 (or 31288 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 457854072 is about 21397.5249035957. The cubic root of 457854072 is about 770.7420024626.

The spelling of 457854072 in words is "four hundred fifty-seven million, eight hundred fifty-four thousand, seventy-two".