400413000 has 128 divisors (see below), whose sum is σ = 1345518720. Its totient is φ = 98553600.

The previous prime is 400412983. The next prime is 400413037. The reversal of 400413000 is 314004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33867 + ... + 44133.

It is an arithmetic number, because the mean of its divisors is an integer number (10511865).

Almost surely, 2^400413000 is an apocalyptic number.

400413000 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 400413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672759360).

400413000 is an abundant number, since it is smaller than the sum of its proper divisors (945105720).

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

400413000 is a wasteful number, since it uses less digits than its factorization.

400413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400413000 is about 20010.3223362344. The cubic root of 400413000 is about 737.0597966710.

Adding to 400413000 its reverse (314004), we get a palindrome (400727004).

The spelling of 400413000 in words is "four hundred million, four hundred thirteen thousand".