54195408 has 60 divisors (see below), whose sum is σ = 152229220. Its totient is φ = 17998848.

The previous prime is 54195397. The next prime is 54195433. The reversal of 54195408 is 80459145.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 31270464 = 4788^2 + 5592^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53208 + ... + 54216.

Almost surely, 2^54195408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54195408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76114610).

54195408 is an abundant number, since it is smaller than the sum of its proper divisors (98033812).

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

54195408 is a wasteful number, since it uses less digits than its factorization.

54195408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54195408 is about 7361.7530520930. The cubic root of 54195408 is about 378.4316895570.

The spelling of 54195408 in words is "fifty-four million, one hundred ninety-five thousand, four hundred eight".