451288152 has 256 divisors, whose sum is σ = 1575936000. Its totient is φ = 116671104.

The previous prime is 451288073. The next prime is 451288153. The reversal of 451288152 is 251882154.

It is a super-2 number, since 2×451288152² = 407321992271150208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451288153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660403 + ... + 661085.

It is an arithmetic number, because the mean of its divisors is an integer number (6156000).

Almost surely, 2^451288152 is an apocalyptic number.

451288152 is a gapful number since it is divisible by the number (42) 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 451288152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787968000).

451288152 is an abundant number, since it is smaller than the sum of its proper divisors (1124647848).

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

451288152 is a wasteful number, since it uses less digits than its factorization.

451288152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 451288152 is about 21243.5437721676. The cubic root of 451288152 is about 767.0399380405.

The spelling of 451288152 in words is "four hundred fifty-one million, two hundred eighty-eight thousand, one hundred fifty-two".