16407468 has 96 divisors (see below), whose sum is σ = 53061120. Its totient is φ = 4259520.

The previous prime is 16407449. The next prime is 16407481. The reversal of 16407468 is 86470461.

16407468 is a `hidden beast` number, since 1 + 640 + 7 + 4 + 6 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 7330 + ... + 9302.

It is an arithmetic number, because the mean of its divisors is an integer number (552720).

Almost surely, 2^16407468 is an apocalyptic number.

16407468 is a gapful number since it is divisible by the number (18) 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 16407468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530560).

16407468 is an abundant number, since it is smaller than the sum of its proper divisors (36653652).

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

16407468 is a wasteful number, since it uses less digits than its factorization.

16407468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 16407468 is about 4050.6132868987. The cubic root of 16407468 is about 254.1053771536.

The spelling of 16407468 in words is "sixteen million, four hundred seven thousand, four hundred sixty-eight".