408149960400 has 1800 divisors, whose sum is σ = 1919138833920. Its totient is φ = 80880353280.

The previous prime is 408149960369. The next prime is 408149960437. The reversal of 408149960400 is 4069941804.

408149960400 is a `hidden beast` number, since 40 + 8 + 149 + 9 + 60 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 852087361 + ... + 852087839.

Almost surely, 2^408149960400 is an apocalyptic number.

408149960400 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 408149960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959569416960).

408149960400 is an abundant number, since it is smaller than the sum of its proper divisors (1510988873520).

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

408149960400 is a wasteful number, since it uses less digits than its factorization.

408149960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 408149960400 in words is "four hundred eight billion, one hundred forty-nine million, nine hundred sixty thousand, four hundred".