216407400 has 96 divisors (see below), whose sum is σ = 731872800. Its totient is φ = 52460800.

The previous prime is 216407383. The next prime is 216407407. The reversal of 216407400 is 4704612.

216407400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216407407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9795 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (7623675).

Almost surely, 2^216407400 is an apocalyptic number.

216407400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216407400 is an abundant number, since it is smaller than the sum of its proper divisors (515465400).

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

216407400 is a wasteful number, since it uses less digits than its factorization.

216407400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32819 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 216407400 is about 14710.7919569274. The cubic root of 216407400 is about 600.3769853094.

The spelling of 216407400 in words is "two hundred sixteen million, four hundred seven thousand, four hundred".