45771960 has 192 divisors, whose sum is σ = 155213280. Its totient is φ = 10782720.

The previous prime is 45771953. The next prime is 45771977. The reversal of 45771960 is 6917754.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750330 + ... + 750390.

Almost surely, 2^45771960 is an apocalyptic number.

45771960 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 45771960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77606640).

45771960 is an abundant number, since it is smaller than the sum of its proper divisors (109441320).

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

45771960 is a wasteful number, since it uses less digits than its factorization.

45771960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 45771960 is about 6765.4977643925. The cubic root of 45771960 is about 357.7117203193.

The spelling of 45771960 in words is "forty-five million, seven hundred seventy-one thousand, nine hundred sixty".