45271408 has 160 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 16035840.

The previous prime is 45271397. The next prime is 45271409. The reversal of 45271408 is 80417254.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 45271408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45271409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767283 + ... + 767341.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^45271408 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 45271408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

45271408 is an abundant number, since it is smaller than the sum of its proper divisors (74720912).

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

45271408 is a wasteful number, since it uses less digits than its factorization.

45271408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 45271408 is about 6728.4030794833. The cubic root of 45271408 is about 356.4029859809.

The spelling of 45271408 in words is "forty-five million, two hundred seventy-one thousand, four hundred eight".