450061920 has 720 divisors, whose sum is σ = 2043939744. Its totient is φ = 91238400.

The previous prime is 450061919. The next prime is 450061967. The reversal of 450061920 is 29160054.

450061920 is a `hidden beast` number, since 45 + 0 + 0 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10977100 + ... + 10977140.

Almost surely, 2^450061920 is an apocalyptic number.

450061920 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 450061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021969872).

450061920 is an abundant number, since it is smaller than the sum of its proper divisors (1593877824).

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

450061920 is a wasteful number, since it uses less digits than its factorization.

450061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 450061920 is about 21214.6628537905. The cubic root of 450061920 is about 766.3445788409.

The spelling of 450061920 in words is "four hundred fifty million, sixty-one thousand, nine hundred twenty".