45270360 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 11952000.

The previous prime is 45270347. The next prime is 45270367. The reversal of 45270360 is 6307254.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45270367) 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, 180235 + ... + 180485.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^45270360 is an apocalyptic number.

45270360 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 45270360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

45270360 is an abundant number, since it is smaller than the sum of its proper divisors (107139240).

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

45270360 is a wasteful number, since it uses less digits than its factorization.

45270360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45270360 is about 6728.3252002263. The cubic root of 45270360 is about 356.4002358034.

The spelling of 45270360 in words is "forty-five million, two hundred seventy thousand, three hundred sixty".