451364734260 has 288 divisors, whose sum is σ = 1546589116800. Its totient is φ = 109203494400.

The previous prime is 451364734243. The next prime is 451364734283. The reversal of 451364734260 is 62437463154.

451364734260 is a `hidden beast` number, since 4 + 5 + 136 + 473 + 42 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34035511 + ... + 34048769.

It is an arithmetic number, because the mean of its divisors is an integer number (5370101100).

Almost surely, 2^451364734260 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 451364734260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773294558400).

451364734260 is an abundant number, since it is smaller than the sum of its proper divisors (1095224382540).

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

451364734260 is a wasteful number, since it uses less digits than its factorization.

451364734260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 451364734260 in words is "four hundred fifty-one billion, three hundred sixty-four million, seven hundred thirty-four thousand, two hundred sixty".