464564100 has 648 divisors, whose sum is σ = 1955687328. Its totient is φ = 83865600.

The previous prime is 464564059. The next prime is 464564141. The reversal of 464564100 is 1465464.

It is an interprime number because it is at equal distance from previous prime (464564059) and next prime (464564141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27327292 + ... + 27327308.

It is an arithmetic number, because the mean of its divisors is an integer number (3018036).

Almost surely, 2^464564100 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 464564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977843664).

464564100 is an abundant number, since it is smaller than the sum of its proper divisors (1491123228).

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

464564100 is a wasteful number, since it uses less digits than its factorization.

464564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 464564100 is about 21553.7490938352. The cubic root of 464564100 is about 774.4889311765.

The spelling of 464564100 in words is "four hundred sixty-four million, five hundred sixty-four thousand, one hundred".