464964100 has 36 divisors (see below), whose sum is σ = 1013466384. Its totient is φ = 185157280.

The previous prime is 464964043. The next prime is 464964109. The reversal of 464964100 is 1469464.

It is a super-2 number, since 2×464964100² = 432383228577620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464964109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12459 + ... + 32941.

It is an arithmetic number, because the mean of its divisors is an integer number (28151844).

Almost surely, 2^464964100 is an apocalyptic number.

It is an amenable number.

464964100 is an abundant number, since it is smaller than the sum of its proper divisors (548502284).

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

464964100 is a wasteful number, since it uses less digits than its factorization.

464964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20724 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 464964100 is about 21563.0262254629. The cubic root of 464964100 is about 774.7111514624.

The spelling of 464964100 in words is "four hundred sixty-four million, nine hundred sixty-four thousand, one hundred".