45547920 has 280 divisors, whose sum is σ = 175649472. Its totient is φ = 10886400.

The previous prime is 45547919. The next prime is 45547949. The reversal of 45547920 is 2974554.

It is a super-2 number, since 2×45547920² = 4149226032652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 641485 + ... + 641555.

Almost surely, 2^45547920 is an apocalyptic number.

45547920 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 45547920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87824736).

45547920 is an abundant number, since it is smaller than the sum of its proper divisors (130101552).

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

45547920 is a wasteful number, since it uses less digits than its factorization.

45547920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45547920 is about 6748.9199135862. The cubic root of 45547920 is about 357.1271350031.

The spelling of 45547920 in words is "forty-five million, five hundred forty-seven thousand, nine hundred twenty".