146400480 has 96 divisors (see below), whose sum is σ = 512416800. Its totient is φ = 39038976.

The previous prime is 146400391. The next prime is 146400521. The reversal of 146400480 is 84004641.

146400480 is a `hidden beast` number, since 14 + 640 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12625 + ... + 21264.

It is an arithmetic number, because the mean of its divisors is an integer number (5337675).

Almost surely, 2^146400480 is an apocalyptic number.

146400480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146400480 is an abundant number, since it is smaller than the sum of its proper divisors (366016320).

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

146400480 is a wasteful number, since it uses less digits than its factorization.

146400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33913 (or 33899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146400480 is about 12099.6066051752. The cubic root of 146400480 is about 527.0447604588.

The spelling of 146400480 in words is "one hundred forty-six million, four hundred thousand, four hundred eighty".