45971680 has 48 divisors (see below), whose sum is σ = 110013120. Its totient is φ = 18150912.

The previous prime is 45971669. The next prime is 45971683. The reversal of 45971680 is 8617954.

It is a super-2 number, since 2×45971680² = 4226790724044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45971683) 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, 10822 + ... + 14458.

It is an arithmetic number, because the mean of its divisors is an integer number (2291940).

Almost surely, 2^45971680 is an apocalyptic number.

45971680 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 45971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55006560).

45971680 is an abundant number, since it is smaller than the sum of its proper divisors (64041440).

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

45971680 is a wasteful number, since it uses less digits than its factorization.

45971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 45971680 is about 6780.2418835909. The cubic root of 45971680 is about 358.2312416330.

The spelling of 45971680 in words is "forty-five million, nine hundred seventy-one thousand, six hundred eighty".