400250000 has 70 divisors (see below), whose sum is σ = 969948522. Its totient is φ = 160000000.

The previous prime is 400249981. The next prime is 400250009. The reversal of 400250000 is 52004.

It can be written as a sum of positive squares in 7 ways, for example, as 357058816 + 43191184 = 18896^2 + 6572^2 .

It is a sliding number, since 400250000 = 250000 + 400000000 and 1/250000 + 1/400000000 = 0.00000400250000.

It is not an unprimeable number, because it can be changed into a prime (400250009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 249200 + ... + 250800.

Almost surely, 2^400250000 is an apocalyptic number.

400250000 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 400250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484974261).

400250000 is an abundant number, since it is smaller than the sum of its proper divisors (569698522).

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

400250000 is an frugal number, since it uses more digits than its factorization.

400250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 400250000 is about 20006.2490237426. The cubic root of 400250000 is about 736.9597690722.

It can be divided in two parts, 400 and 250000, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 400250000 in words is "four hundred million, two hundred fifty thousand".