400770000 has 300 divisors, whose sum is σ = 1444040884. Its totient is φ = 103680000.

The previous prime is 400769969. The next prime is 400770011. The reversal of 400770000 is 77004.

It can be written as a sum of positive squares in 10 ways, for example, as 379314576 + 21455424 = 19476^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5489964 + ... + 5490036.

Almost surely, 2^400770000 is an apocalyptic number.

400770000 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 400770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722020442).

400770000 is an abundant number, since it is smaller than the sum of its proper divisors (1043270884).

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

400770000 is a wasteful number, since it uses less digits than its factorization.

400770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 400770000 is about 20019.2407448434. The cubic root of 400770000 is about 737.2787807247.

The spelling of 400770000 in words is "four hundred million, seven hundred seventy thousand".