360407040 has 224 divisors, whose sum is σ = 1321125120. Its totient is φ = 82182144.

The previous prime is 360407027. The next prime is 360407057. The reversal of 360407040 is 40704063.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 360407040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859951 + ... + 860369.

It is an arithmetic number, because the mean of its divisors is an integer number (5897880).

Almost surely, 2^360407040 is an apocalyptic number.

360407040 is a gapful number since it is divisible by the number (30) 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 360407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660562560).

360407040 is an abundant number, since it is smaller than the sum of its proper divisors (960718080).

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

360407040 is an equidigital number, since it uses as much as digits as its factorization.

360407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 360407040 is about 18984.3893765378. The cubic root of 360407040 is about 711.6466706266.

The spelling of 360407040 in words is "three hundred sixty million, four hundred seven thousand, forty".