408977280 has 384 divisors, whose sum is σ = 1541872800. Its totient is φ = 99532800.

The previous prime is 408977273. The next prime is 408977281. The reversal of 408977280 is 82779804.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408977281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4049230 + ... + 4049330.

Almost surely, 2^408977280 is an apocalyptic number.

408977280 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 408977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770936400).

408977280 is an abundant number, since it is smaller than the sum of its proper divisors (1132895520).

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

408977280 is a wasteful number, since it uses less digits than its factorization.

408977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 408977280 is about 20223.1866925072. The cubic root of 408977280 is about 742.2776669962.

The spelling of 408977280 in words is "four hundred eight million, nine hundred seventy-seven thousand, two hundred eighty".