45167400 has 144 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 11510400.

The previous prime is 45167399. The next prime is 45167407. The reversal of 45167400 is 476154.

It is not an unprimeable number, because it can be changed into a prime (45167407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 40855 + ... + 41945.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 2^45167400 is an apocalyptic number.

45167400 is a gapful number since it is divisible by the number (40) 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 45167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

45167400 is an abundant number, since it is smaller than the sum of its proper divisors (113259960).

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

45167400 is a wasteful number, since it uses less digits than its factorization.

45167400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45167400 is about 6720.6696094958. The cubic root of 45167400 is about 356.1298394383.

The spelling of 45167400 in words is "forty-five million, one hundred sixty-seven thousand, four hundred".