462464772 has 192 divisors, whose sum is σ = 1436811264. Its totient is φ = 112210560.

The previous prime is 462464771. The next prime is 462464777. The reversal of 462464772 is 277464264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (462464771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998613 + ... + 999075.

It is an arithmetic number, because the mean of its divisors is an integer number (7483392).

Almost surely, 2^462464772 is an apocalyptic number.

462464772 is a gapful number since it is divisible by the number (42) 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 462464772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718405632).

462464772 is an abundant number, since it is smaller than the sum of its proper divisors (974346492).

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

462464772 is a wasteful number, since it uses less digits than its factorization.

462464772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 462464772 is about 21504.9941176463. The cubic root of 462464772 is about 773.3205516285.

It can be divided in two parts, 4624 and 64772, that added together give a palindrome (69396).

The spelling of 462464772 in words is "four hundred sixty-two million, four hundred sixty-four thousand, seven hundred seventy-two".