451729152 has 216 divisors, whose sum is σ = 1530759776. Its totient is φ = 125411328.

The previous prime is 451729133. The next prime is 451729153. The reversal of 451729152 is 251927154.

451729152 is a `hidden beast` number, since 4 + 517 + 2 + 91 + 52 = 666.

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 (451729153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596358 + ... + 597114.

Almost surely, 2^451729152 is an apocalyptic number.

451729152 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 451729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765379888).

451729152 is an abundant number, since it is smaller than the sum of its proper divisors (1079030624).

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

451729152 is a wasteful number, since it uses less digits than its factorization.

451729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 806 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 451729152 is about 21253.9208618081. The cubic root of 451729152 is about 767.2897078654.

The spelling of 451729152 in words is "four hundred fifty-one million, seven hundred twenty-nine thousand, one hundred fifty-two".