45299520 has 336 divisors, whose sum is σ = 187634880. Its totient is φ = 10257408.

The previous prime is 45299497. The next prime is 45299521. The reversal of 45299520 is 2599254.

It is a happy number.

45299520 is a `hidden beast` number, since 45 + 2 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45299521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423307 + ... + 423413.

Almost surely, 2^45299520 is an apocalyptic number.

45299520 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 45299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93817440).

45299520 is an abundant number, since it is smaller than the sum of its proper divisors (142335360).

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

45299520 is a wasteful number, since it uses less digits than its factorization.

45299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45299520 is about 6730.4918096674. The cubic root of 45299520 is about 356.4767420817.

The spelling of 45299520 in words is "forty-five million, two hundred ninety-nine thousand, five hundred twenty".