456135150 has 48 divisors (see below), whose sum is σ = 1133074800. Its totient is φ = 121436160.

The previous prime is 456135133. The next prime is 456135151. The reversal of 456135150 is 51531654.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456135151) 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, 104206 + ... + 108494.

It is an arithmetic number, because the mean of its divisors is an integer number (23605725).

Almost surely, 2^456135150 is an apocalyptic number.

456135150 is an abundant number, since it is smaller than the sum of its proper divisors (676939650).

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

456135150 is a wasteful number, since it uses less digits than its factorization.

456135150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 456135150 is about 21357.3207589342. The cubic root of 456135150 is about 769.7762604003.

The spelling of 456135150 in words is "four hundred fifty-six million, one hundred thirty-five thousand, one hundred fifty".