450455364 has 48 divisors (see below), whose sum is σ = 1172082240. Its totient is φ = 149607360.

The previous prime is 450455339. The next prime is 450455371. The reversal of 450455364 is 463554054.

450455364 is a `hidden beast` number, since 45 + 0 + 4 + 553 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22927 + ... + 37769.

It is an arithmetic number, because the mean of its divisors is an integer number (24418380).

Almost surely, 2^450455364 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 450455364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586041120).

450455364 is an abundant number, since it is smaller than the sum of its proper divisors (721626876).

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

450455364 is a wasteful number, since it uses less digits than its factorization.

450455364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15137 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 450455364 is about 21223.9337541371. The cubic root of 450455364 is about 766.5678265354.

The spelling of 450455364 in words is "four hundred fifty million, four hundred fifty-five thousand, three hundred sixty-four".