45153416 has 64 divisors (see below), whose sum is σ = 110177280. Its totient is φ = 16822080.

The previous prime is 45153401. The next prime is 45153421. The reversal of 45153416 is 61435154.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12575 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (1721520).

Almost surely, 2^45153416 is an apocalyptic number.

45153416 is a gapful number since it is divisible by the number (46) 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 45153416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55088640).

45153416 is an abundant number, since it is smaller than the sum of its proper divisors (65023864).

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

45153416 is a wasteful number, since it uses less digits than its factorization.

45153416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3230 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 45153416 is about 6719.6291564342. The cubic root of 45153416 is about 356.0930825907.

The spelling of 45153416 in words is "forty-five million, one hundred fifty-three thousand, four hundred sixteen".