451772256 has 96 divisors (see below), whose sum is σ = 1332737280. Its totient is φ = 132954624.

The previous prime is 451772249. The next prime is 451772261. The reversal of 451772256 is 652277154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20835 + ... + 36573.

It is an arithmetic number, because the mean of its divisors is an integer number (13882680).

Almost surely, 2^451772256 is an apocalyptic number.

451772256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666368640).

451772256 is an abundant number, since it is smaller than the sum of its proper divisors (880965024).

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

451772256 is a wasteful number, since it uses less digits than its factorization.

451772256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15788 (or 15780 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 451772256 is about 21254.9348622855. The cubic root of 451772256 is about 767.3141120196.

The spelling of 451772256 in words is "four hundred fifty-one million, seven hundred seventy-two thousand, two hundred fifty-six".