42457464 has 96 divisors (see below), whose sum is σ = 133667040. Its totient is φ = 11923200.

The previous prime is 42457453. The next prime is 42457477. The reversal of 42457464 is 46475424.

42457464 is a `hidden beast` number, since 4 + 24 + 574 + 64 = 666.

It is a super-2 number, since 2×42457464² = 3605272498622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30054 + ... + 31434.

It is an arithmetic number, because the mean of its divisors is an integer number (1392365).

Almost surely, 2^42457464 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 42457464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66833520).

42457464 is an abundant number, since it is smaller than the sum of its proper divisors (91209576).

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

42457464 is a wasteful number, since it uses less digits than its factorization.

42457464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1454 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 42457464 is about 6515.9392262359. The cubic root of 42457464 is about 348.8601394143.

The spelling of 42457464 in words is "forty-two million, four hundred fifty-seven thousand, four hundred sixty-four".