45516450 has 96 divisors (see below), whose sum is σ = 131134464. Its totient is φ = 10232640.

The previous prime is 45516439. The next prime is 45516461. The reversal of 45516450 is 5461554.

45516450 = 791² + 792² + ... + 857².

It is an interprime number because it is at equal distance from previous prime (45516439) and next prime (45516461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70027 + ... + 70673.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^45516450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45516450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65567232).

45516450 is an abundant number, since it is smaller than the sum of its proper divisors (85618014).

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

45516450 is a wasteful number, since it uses less digits than its factorization.

45516450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 45516450 is about 6746.5880265509. The cubic root of 45516450 is about 357.0448672120.

The spelling of 45516450 in words is "forty-five million, five hundred sixteen thousand, four hundred fifty".