400069800 has 384 divisors, whose sum is σ = 1531152000. Its totient is φ = 95385600.

The previous prime is 400069793. The next prime is 400069829. The reversal of 400069800 is 8960004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2878131 + ... + 2878269.

It is an arithmetic number, because the mean of its divisors is an integer number (3987375).

Almost surely, 2^400069800 is an apocalyptic number.

400069800 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 400069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576000).

400069800 is an abundant number, since it is smaller than the sum of its proper divisors (1131082200).

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

400069800 is a wasteful number, since it uses less digits than its factorization.

400069800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 400069800 is about 20001.7449238810. The cubic root of 400069800 is about 736.8491548019.

The spelling of 400069800 in words is "four hundred million, sixty-nine thousand, eight hundred".