405244980 has 144 divisors (see below), whose sum is σ = 1487566080. Its totient is φ = 87174144.

The previous prime is 405244969. The next prime is 405245047. The reversal of 405244980 is 89442504.

405244980 is a `hidden beast` number, since 40 + 524 + 4 + 98 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 11961 + ... + 30879.

It is an arithmetic number, because the mean of its divisors is an integer number (10330320).

Almost surely, 2^405244980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405244980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743783040).

405244980 is an abundant number, since it is smaller than the sum of its proper divisors (1082321100).

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

405244980 is a wasteful number, since it uses less digits than its factorization.

405244980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18958 (or 18953 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 405244980 is about 20130.6974543854. The cubic root of 405244980 is about 740.0127706586.

The spelling of 405244980 in words is "four hundred five million, two hundred forty-four thousand, nine hundred eighty".