45473760 has 144 divisors (see below), whose sum is σ = 162044064. Its totient is φ = 11590656.

The previous prime is 45473741. The next prime is 45473767. The reversal of 45473760 is 6737454.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45473767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32434 + ... + 33806.

It is an arithmetic number, because the mean of its divisors is an integer number (1125306).

Almost surely, 2^45473760 is an apocalyptic number.

45473760 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 45473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81022032).

45473760 is an abundant number, since it is smaller than the sum of its proper divisors (116570304).

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

45473760 is a wasteful number, since it uses less digits than its factorization.

45473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45473760 is about 6743.4234629007. The cubic root of 45473760 is about 356.9332078514.

The spelling of 45473760 in words is "forty-five million, four hundred seventy-three thousand, seven hundred sixty".