462828264 has 256 divisors, whose sum is σ = 1386823680. Its totient is φ = 127733760.

The previous prime is 462828263. The next prime is 462828271.

462828264 is nontrivially palindromic in base 10.

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 (462828263) 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, 10763427 + ... + 10763469.

It is an arithmetic number, because the mean of its divisors is an integer number (5417280).

Almost surely, 2^462828264 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 462828264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693411840).

462828264 is an abundant number, since it is smaller than the sum of its proper divisors (923995416).

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

462828264 is a wasteful number, since it uses less digits than its factorization.

462828264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 462828264 is about 21513.4437968448. The cubic root of 462828264 is about 773.5231055937.

The spelling of 462828264 in words is "four hundred sixty-two million, eight hundred twenty-eight thousand, two hundred sixty-four".