16493400 has 432 divisors, whose sum is σ = 74426040. Its totient is φ = 3225600.

The previous prime is 16493377. The next prime is 16493413. The reversal of 16493400 is 439461.

16493400 = 556² + 557² + ... + 604².

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 970192 + ... + 970208.

Almost surely, 2^16493400 is an apocalyptic number.

16493400 is a gapful number since it is divisible by the number (10) 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 16493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37213020).

16493400 is an abundant number, since it is smaller than the sum of its proper divisors (57932640).

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

16493400 is a wasteful number, since it uses less digits than its factorization.

16493400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16493400 is about 4061.2067172209. The cubic root of 16493400 is about 254.5482196669.

The spelling of 16493400 in words is "sixteen million, four hundred ninety-three thousand, four hundred".