456541500 has 192 divisors, whose sum is σ = 1423618560. Its totient is φ = 113356800.

The previous prime is 456541453. The next prime is 456541529. The reversal of 456541500 is 5145654.

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 63 ways as a sum of consecutive naturals, for example, 2365404 + ... + 2365596.

It is an arithmetic number, because the mean of its divisors is an integer number (7414680).

Almost surely, 2^456541500 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 456541500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711809280).

456541500 is an abundant number, since it is smaller than the sum of its proper divisors (967077060).

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

456541500 is a wasteful number, since it uses less digits than its factorization.

456541500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 456541500 is about 21366.8317726330. The cubic root of 456541500 is about 770.0047787414.

The spelling of 456541500 in words is "four hundred fifty-six million, five hundred forty-one thousand, five hundred".