45828420 has 96 divisors (see below), whose sum is σ = 146119680. Its totient is φ = 10623360.

The previous prime is 45828407. The next prime is 45828463. The reversal of 45828420 is 2482854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13671 + ... + 16689.

It is an arithmetic number, because the mean of its divisors is an integer number (1522080).

Almost surely, 2^45828420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45828420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73059840).

45828420 is an abundant number, since it is smaller than the sum of its proper divisors (100291260).

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

45828420 is a wasteful number, since it uses less digits than its factorization.

45828420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 45828420 is about 6769.6691204224. The cubic root of 45828420 is about 357.8587397702.

The spelling of 45828420 in words is "forty-five million, eight hundred twenty-eight thousand, four hundred twenty".