164999400 has 144 divisors (see below), whose sum is σ = 526900800. Its totient is φ = 42706560.

The previous prime is 164999389. The next prime is 164999437. The reversal of 164999400 is 4999461.

164999400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2088561 + ... + 2088639.

Almost surely, 2^164999400 is an apocalyptic number.

164999400 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 164999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450400).

164999400 is an abundant number, since it is smaller than the sum of its proper divisors (361901400).

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

164999400 is a wasteful number, since it uses less digits than its factorization.

164999400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 164999400 is about 12845.2092236756. The cubic root of 164999400 is about 548.4799904174.

The spelling of 164999400 in words is "one hundred sixty-four million, nine hundred ninety-nine thousand, four hundred".