408877560 has 288 divisors, whose sum is σ = 1665649440. Its totient is φ = 86220288.

The previous prime is 408877559. The next prime is 408877561. The reversal of 408877560 is 65778804.

408877560 is a `hidden beast` number, since 4 + 0 + 8 + 87 + 7 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (408877559) and next prime (408877561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408877561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228429 + ... + 230211.

It is an arithmetic number, because the mean of its divisors is an integer number (5783505).

Almost surely, 2^408877560 is an apocalyptic number.

408877560 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 408877560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832824720).

408877560 is an abundant number, since it is smaller than the sum of its proper divisors (1256771880).

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

408877560 is a wasteful number, since it uses less digits than its factorization.

408877560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 408877560 is about 20220.7210553927. The cubic root of 408877560 is about 742.2173328005.

The spelling of 408877560 in words is "four hundred eight million, eight hundred seventy-seven thousand, five hundred sixty".