45965120 has 42 divisors (see below), whose sum is σ = 109744002. Its totient is φ = 18337536.

The previous prime is 45965119. The next prime is 45965173. The reversal of 45965120 is 2156954.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36772096 + 9193024 = 6064^2 + 3032^2 .

It is a super-2 number, since 2×45965120² = 4225584513228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121091 + ... + 121469.

Almost surely, 2^45965120 is an apocalyptic number.

45965120 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 45965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54872001).

45965120 is an abundant number, since it is smaller than the sum of its proper divisors (63778882).

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

45965120 is an frugal number, since it uses more digits than its factorization.

45965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 45965120 is about 6779.7581077794. The cubic root of 45965120 is about 358.2142013687.

The spelling of 45965120 in words is "forty-five million, nine hundred sixty-five thousand, one hundred twenty".