451405136 has 160 divisors (see below), whose sum is σ = 1134594048. Its totient is φ = 169205760.

The previous prime is 451405111. The next prime is 451405139. The reversal of 451405136 is 631504154.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 451405099 and 451405108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451405139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3294860 + ... + 3294996.

Almost surely, 2^451405136 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 451405136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567297024).

451405136 is an abundant number, since it is smaller than the sum of its proper divisors (683188912).

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

451405136 is a wasteful number, since it uses less digits than its factorization.

451405136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 451405136 is about 21246.2969950060. The cubic root of 451405136 is about 767.1062102935.

The spelling of 451405136 in words is "four hundred fifty-one million, four hundred five thousand, one hundred thirty-six".