450401616 has 60 divisors (see below), whose sum is σ = 1440573472. Its totient is φ = 128685888.

The previous prime is 450401599. The next prime is 450401647. The reversal of 450401616 is 616104054.

450401616 is a `hidden beast` number, since 4 + 5 + 0 + 40 + 1 + 616 = 666.

It is a super-2 number, since 2×450401616² = 405723231390822912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450401616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222406 + ... + 224421.

Almost surely, 2^450401616 is an apocalyptic number.

It is an amenable number.

450401616 is an abundant number, since it is smaller than the sum of its proper divisors (990171856).

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

450401616 is a wasteful number, since it uses less digits than its factorization.

450401616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446848 (or 446839 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 450401616 is about 21222.6675043454. The cubic root of 450401616 is about 766.5373365544.

It can be divided in two parts, 45040 and 1616, that added together give a 6-th power (46656 = 6⁶).

The spelling of 450401616 in words is "four hundred fifty million, four hundred one thousand, six hundred sixteen".