464157090 has 48 divisors (see below), whose sum is σ = 1210737528. Its totient is φ = 123372288.

The previous prime is 464157059. The next prime is 464157091. The reversal of 464157090 is 90751464.

464157090 is a `hidden beast` number, since 4 + 641 + 5 + 7 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178783641 + 285373449 = 13371^2 + 16893^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (464157091) 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, 19932 + ... + 36408.

Almost surely, 2^464157090 is an apocalyptic number.

464157090 is an abundant number, since it is smaller than the sum of its proper divisors (746580438).

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

464157090 is a wasteful number, since it uses less digits than its factorization.

464157090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16803 (or 16800 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 464157090 is about 21544.3052800502. The cubic root of 464157090 is about 774.2626855109.

The spelling of 464157090 in words is "four hundred sixty-four million, one hundred fifty-seven thousand, ninety".