146472408 has 128 divisors (see below), whose sum is σ = 435844800. Its totient is φ = 45416448.

The previous prime is 146472401. The next prime is 146472409. The reversal of 146472408 is 804274641.

146472408 is a `hidden beast` number, since 1 + 4 + 647 + 2 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146472401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414760 + ... + 415112.

Almost surely, 2^146472408 is an apocalyptic number.

146472408 is a gapful number since it is divisible by the number (18) 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 146472408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217922400).

146472408 is an abundant number, since it is smaller than the sum of its proper divisors (289372392).

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

146472408 is a wasteful number, since it uses less digits than its factorization.

146472408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 146472408 is about 12102.5785682226. The cubic root of 146472408 is about 527.1310604236.

The spelling of 146472408 in words is "one hundred forty-six million, four hundred seventy-two thousand, four hundred eight".