450947930400 has 1296 divisors, whose sum is σ = 1909882447200. Its totient is φ = 103464345600.

The previous prime is 450947930383. The next prime is 450947930417. The reversal of 450947930400 is 4039749054.

It is a happy number.

450947930400 is a `hidden beast` number, since 4 + 509 + 4 + 79 + 30 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (450947930383) and next prime (450947930417).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 446925096 + ... + 446926104.

Almost surely, 2^450947930400 is an apocalyptic number.

450947930400 is a gapful number since it is divisible by the number (40) 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 450947930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954941223600).

450947930400 is an abundant number, since it is smaller than the sum of its proper divisors (1458934516800).

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

450947930400 is a wasteful number, since it uses less digits than its factorization.

450947930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 450947930400 in words is "four hundred fifty billion, nine hundred forty-seven million, nine hundred thirty thousand, four hundred".