162464400 has 360 divisors, whose sum is σ = 674852640. Its totient is φ = 37013760.

The previous prime is 162464389. The next prime is 162464417. The reversal of 162464400 is 4464261.

162464400 is a `hidden beast` number, since 16 + 2 + 4 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529047 + ... + 529353.

Almost surely, 2^162464400 is an apocalyptic number.

162464400 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 162464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337426320).

162464400 is an abundant number, since it is smaller than the sum of its proper divisors (512388240).

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

162464400 is a wasteful number, since it uses less digits than its factorization.

162464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 162464400 is about 12746.1523606146. The cubic root of 162464400 is about 545.6565887877.

The spelling of 162464400 in words is "one hundred sixty-two million, four hundred sixty-four thousand, four hundred".