456200745 has 128 divisors (see below), whose sum is σ = 1023418368. Its totient is φ = 167270400.

The previous prime is 456200737. The next prime is 456200807. The reversal of 456200745 is 547002654.

It is not a de Polignac number, because 456200745 - 2³ = 456200737 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344685 + ... + 346005.

It is an arithmetic number, because the mean of its divisors is an integer number (7995456).

Almost surely, 2^456200745 is an apocalyptic number.

It is an amenable number.

456200745 is an abundant number, since it is smaller than the sum of its proper divisors (567217623).

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

456200745 is a wasteful number, since it uses less digits than its factorization.

456200745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 456200745 is about 21358.8563598335. The cubic root of 456200745 is about 769.8131581294.

The spelling of 456200745 in words is "four hundred fifty-six million, two hundred thousand, seven hundred forty-five".