400860000 has 360 divisors, whose sum is σ = 1519782264. Its totient is φ = 99840000.

The previous prime is 400859989. The next prime is 400860007. The reversal of 400860000 is 68004.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400860007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059935 + ... + 3060065.

Almost surely, 2^400860000 is an apocalyptic number.

400860000 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 400860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759891132).

400860000 is an abundant number, since it is smaller than the sum of its proper divisors (1118922264).

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

400860000 is a wasteful number, since it uses less digits than its factorization.

400860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400860000 is about 20021.4884561563. The cubic root of 400860000 is about 737.3339662623. Note that the first 3 decimals are identical.

The spelling of 400860000 in words is "four hundred million, eight hundred sixty thousand".