45965280 has 192 divisors, whose sum is σ = 158070528. Its totient is φ = 11182080.

The previous prime is 45965273. The next prime is 45965287. The reversal of 45965280 is 8256954.

It is an interprime number because it is at equal distance from previous prime (45965273) and next prime (45965287).

It is a super-2 number, since 2×45965280² = 4225613930956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45965287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350815 + ... + 350945.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^45965280 is an apocalyptic number.

45965280 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 45965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035264).

45965280 is an abundant number, since it is smaller than the sum of its proper divisors (112105248).

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

45965280 is a wasteful number, since it uses less digits than its factorization.

45965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 45965280 is about 6779.7699076001. The cubic root of 45965280 is about 358.2146170042.

The spelling of 45965280 in words is "forty-five million, nine hundred sixty-five thousand, two hundred eighty".