45315840 has 72 divisors (see below), whose sum is σ = 144739728. Its totient is φ = 12083200.

The previous prime is 45315833. The next prime is 45315841. The reversal of 45315840 is 4851354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45315798 and 45315807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45315841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2061 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (2010274).

Almost surely, 2^45315840 is an apocalyptic number.

45315840 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 45315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72369864).

45315840 is an abundant number, since it is smaller than the sum of its proper divisors (99423888).

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

45315840 is a wasteful number, since it uses less digits than its factorization.

45315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11825 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45315840 is about 6731.7040933184. The cubic root of 45315840 is about 356.5195460814.

The spelling of 45315840 in words is "forty-five million, three hundred fifteen thousand, eight hundred forty".