456001854 has 64 divisors (see below), whose sum is σ = 1139415552. Its totient is φ = 118195200.

The previous prime is 456001853. The next prime is 456001859. The reversal of 456001854 is 458100654.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456001853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350934 + ... + 352230.

It is an arithmetic number, because the mean of its divisors is an integer number (17803368).

Almost surely, 2^456001854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456001854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569707776).

456001854 is an abundant number, since it is smaller than the sum of its proper divisors (683413698).

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

456001854 is a wasteful number, since it uses less digits than its factorization.

456001854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 456001854 is about 21354.1999147709. The cubic root of 456001854 is about 769.7012694003.

The spelling of 456001854 in words is "four hundred fifty-six million, one thousand, eight hundred fifty-four".