405372880 has 80 divisors (see below), whose sum is σ = 1032505344. Its totient is φ = 146787840.

The previous prime is 405372859. The next prime is 405372881. The reversal of 405372880 is 88273504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405372881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242929 + ... + 244591.

Almost surely, 2^405372880 is an apocalyptic number.

405372880 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 405372880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516252672).

405372880 is an abundant number, since it is smaller than the sum of its proper divisors (627132464).

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

405372880 is a wasteful number, since it uses less digits than its factorization.

405372880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 405372880 is about 20133.8739441768. The cubic root of 405372880 is about 740.0906146645.

The spelling of 405372880 in words is "four hundred five million, three hundred seventy-two thousand, eight hundred eighty".