451572 has 36 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 136400.

The previous prime is 451553. The next prime is 451579. The reversal of 451572 is 275154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451579) by changing a digit.

451572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297 + ... + 1607.

2⁴⁵¹⁵⁷² 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 451572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

451572 is an abundant number, since it is smaller than the sum of its proper divisors (710316).

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

451572 is a wasteful number, since it uses less digits than its factorization.

451572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 451572 is about 671.9910713693. The cubic root of 451572 is about 76.7200720104.

The spelling of 451572 in words is "four hundred fifty-one thousand, five hundred seventy-two".