451772160 has 252 divisors, whose sum is σ = 1683319848. Its totient is φ = 103262208.

The previous prime is 451772149. The next prime is 451772171. The reversal of 451772160 is 61277154.

It is an interprime number because it is at equal distance from previous prime (451772149) and next prime (451772171).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 980 × 588 × 784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64538877 + ... + 64538883.

Almost surely, 2^451772160 is an apocalyptic number.

451772160 is a gapful number since it is divisible by the number (40) 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 451772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841659924).

451772160 is an abundant number, since it is smaller than the sum of its proper divisors (1231547688).

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

451772160 is an frugal number, since it uses more digits than its factorization.

451772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 451772160 is about 21254.9326039863. The cubic root of 451772160 is about 767.3140576691.

Multiplying 451772160 by its product of nonzero digits (11760), we get a square (5312840601600 = 2304960²).

451772160 divided by its product of nonzero digits (11760) gives a 4-th power (38416 = 14⁴).

The spelling of 451772160 in words is "four hundred fifty-one million, seven hundred seventy-two thousand, one hundred sixty".