45192420 has 288 divisors, whose sum is σ = 176117760. Its totient is φ = 9123840.

The previous prime is 45192419. The next prime is 45192439. The reversal of 45192420 is 2429154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507736 + ... + 507824.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^45192420 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 45192420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

45192420 is an abundant number, since it is smaller than the sum of its proper divisors (130925340).

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

45192420 is a wasteful number, since it uses less digits than its factorization.

45192420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45192420 is about 6722.5307734513. The cubic root of 45192420 is about 356.1955854101.

The spelling of 45192420 in words is "forty-five million, one hundred ninety-two thousand, four hundred twenty".