45290016 has 120 divisors (see below), whose sum is σ = 135293004. Its totient is φ = 14860800.

The previous prime is 45289991. The next prime is 45290041. The reversal of 45290016 is 61009254.

It is an interprime number because it is at equal distance from previous prime (45289991) and next prime (45290041).

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 11696400 = 5796^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 261706 + ... + 261878.

Almost surely, 2^45290016 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 45290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67646502).

45290016 is an abundant number, since it is smaller than the sum of its proper divisors (90002988).

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

45290016 is a wasteful number, since it uses less digits than its factorization.

45290016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45290016 is about 6729.7857321017. The cubic root of 45290016 is about 356.4518103096.

The spelling of 45290016 in words is "forty-five million, two hundred ninety thousand, sixteen".