45161280 has 112 divisors (see below), whose sum is σ = 159349440. Its totient is φ = 12040704.

The previous prime is 45161279. The next prime is 45161293. The reversal of 45161280 is 8216154.

45161280 is a `hidden beast` number, since 45 + 1 + 612 + 8 + 0 = 666.

It is a super-2 number, since 2×45161280² = 4079082422476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6027 + ... + 11253.

Almost surely, 2^45161280 is an apocalyptic number.

45161280 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 45161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79674720).

45161280 is an abundant number, since it is smaller than the sum of its proper divisors (114188160).

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

45161280 is a wasteful number, since it uses less digits than its factorization.

45161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45161280 is about 6720.2142822978. The cubic root of 45161280 is about 356.1137539942.

The spelling of 45161280 in words is "forty-five million, one hundred sixty-one thousand, two hundred eighty".