400069296 has 240 divisors, whose sum is σ = 1316165760. Its totient is φ = 112097280.

The previous prime is 400069283. The next prime is 400069331. The reversal of 400069296 is 692960004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400069296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2234935 + ... + 2235113.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^400069296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400069296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).

400069296 is an abundant number, since it is smaller than the sum of its proper divisors (916096464).

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

400069296 is a wasteful number, since it uses less digits than its factorization.

400069296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 400069296 is about 20001.7323249763. The cubic root of 400069296 is about 736.8488453791.

The spelling of 400069296 in words is "four hundred million, sixty-nine thousand, two hundred ninety-six".