462042724 has 96 divisors (see below), whose sum is σ = 997097472. Its totient is φ = 184464000.

The previous prime is 462042709. The next prime is 462042727. The reversal of 462042724 is 427240264.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (462042727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258789 + ... + 1259155.

It is an arithmetic number, because the mean of its divisors is an integer number (10386432).

Almost surely, 2^462042724 is an apocalyptic number.

462042724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

462042724 is an abundant number, since it is smaller than the sum of its proper divisors (535054748).

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

462042724 is a wasteful number, since it uses less digits than its factorization.

462042724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 462042724 is about 21495.1790874140. The cubic root of 462042724 is about 773.0852344417.

Adding to 462042724 its reverse (427240264), we get a palindrome (889282988).

The spelling of 462042724 in words is "four hundred sixty-two million, forty-two thousand, seven hundred twenty-four".