45995520 has 160 divisors (see below), whose sum is σ = 151142112. Its totient is φ = 11927552.

The previous prime is 45995519. The next prime is 45995527. The reversal of 45995520 is 2559954.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45995527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406984 + ... + 407096.

Almost surely, 2^45995520 is an apocalyptic number.

45995520 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 45995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571056).

45995520 is an abundant number, since it is smaller than the sum of its proper divisors (105146592).

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

45995520 is a wasteful number, since it uses less digits than its factorization.

45995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 45995520 is about 6781.9997051017. Note that the first 3 decimals coincide. The cubic root of 45995520 is about 358.2931548004.

The spelling of 45995520 in words is "forty-five million, nine hundred ninety-five thousand, five hundred twenty".