464679936 has 264 divisors, whose sum is σ = 1605503040. Its totient is φ = 132765696.

The previous prime is 464679931. The next prime is 464679953. The reversal of 464679936 is 639976464.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

464679936 is a `hidden beast` number, since 464 + 67 + 99 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (5878656) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464679931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66382845 + ... + 66382851.

Almost surely, 2^464679936 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 464679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802751520).

464679936 is an abundant number, since it is smaller than the sum of its proper divisors (1140823104).

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

464679936 is an frugal number, since it uses more digits than its factorization.

464679936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 464679936 is about 21556.4360690723. The cubic root of 464679936 is about 774.5532970658.

The spelling of 464679936 in words is "four hundred sixty-four million, six hundred seventy-nine thousand, nine hundred thirty-six".