45734760 has 256 divisors, whose sum is σ = 167961600. Its totient is φ = 11022336.

The previous prime is 45734749. The next prime is 45734771. The reversal of 45734760 is 6743754.

It is an interprime number because it is at equal distance from previous prime (45734749) and next prime (45734771).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862894 + ... + 862946.

It is an arithmetic number, because the mean of its divisors is an integer number (656100).

Almost surely, 2^45734760 is an apocalyptic number.

45734760 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 45734760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980800).

45734760 is an abundant number, since it is smaller than the sum of its proper divisors (122226840).

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

45734760 is a wasteful number, since it uses less digits than its factorization.

45734760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

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

The square root of 45734760 is about 6762.7479621822. The cubic root of 45734760 is about 357.6147870107.

The spelling of 45734760 in words is "forty-five million, seven hundred thirty-four thousand, seven hundred sixty".