45174240 has 96 divisors (see below), whose sum is σ = 158124960. Its totient is φ = 12045312.

The previous prime is 45174203. The next prime is 45174263. The reversal of 45174240 is 4247154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909 + ... + 9548.

It is an arithmetic number, because the mean of its divisors is an integer number (1647135).

Almost surely, 2^45174240 is an apocalyptic number.

45174240 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 45174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79062480).

45174240 is an abundant number, since it is smaller than the sum of its proper divisors (112950720).

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

45174240 is a wasteful number, since it uses less digits than its factorization.

45174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45174240 is about 6721.1784680962. The cubic root of 45174240 is about 356.1478155682.

It can be divided in two parts, 451 and 74240, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 45174240 in words is "forty-five million, one hundred seventy-four thousand, two hundred forty".