45971940 has 96 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 10048896.

The previous prime is 45971921. The next prime is 45971941. The reversal of 45971940 is 4917954.

It is a super-2 number, since 2×45971940² = 4226838534727200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45971941) 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, 7281 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 2^45971940 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 45971940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

45971940 is an abundant number, since it is smaller than the sum of its proper divisors (107566620).

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

45971940 is a wasteful number, since it uses less digits than its factorization.

45971940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 45971940 is about 6780.2610569210. The cubic root of 45971940 is about 358.2319169759.

The spelling of 45971940 in words is "forty-five million, nine hundred seventy-one thousand, nine hundred forty".