400785408 has 160 divisors (see below), whose sum is σ = 1205319720. Its totient is φ = 132710400.

The previous prime is 400785379. The next prime is 400785409. The reversal of 400785408 is 804587004.

400785408 is a `hidden beast` number, since 40 + 0 + 78 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400785409) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654133 + ... + 2654283.

Almost surely, 2^400785408 is an apocalyptic number.

400785408 is a gapful number since it is divisible by the number (48) 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 400785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602659860).

400785408 is an abundant number, since it is smaller than the sum of its proper divisors (804534312).

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

400785408 is an frugal number, since it uses more digits than its factorization.

400785408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 400785408 is about 20019.6255709241. The cubic root of 400785408 is about 737.2882290748.

The spelling of 400785408 in words is "four hundred million, seven hundred eighty-five thousand, four hundred eight".