464157100 has 72 divisors (see below), whose sum is σ = 1102273200. Its totient is φ = 168249600.

The previous prime is 464157091. The next prime is 464157107. The reversal of 464157100 is 1751464.

It is not an unprimeable number, because it can be changed into a prime (464157107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559486 + ... + 560314.

It is an arithmetic number, because the mean of its divisors is an integer number (15309350).

Almost surely, 2^464157100 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 464157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551136600).

464157100 is an abundant number, since it is smaller than the sum of its proper divisors (638116100).

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

464157100 is a wasteful number, since it uses less digits than its factorization.

464157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 464157100 is about 21544.3055121301. The cubic root of 464157100 is about 774.2626910712.

The spelling of 464157100 in words is "four hundred sixty-four million, one hundred fifty-seven thousand, one hundred".