400420410 has 64 divisors (see below), whose sum is σ = 1037377152. Its totient is φ = 98332416.

The previous prime is 400420399. The next prime is 400420411. The reversal of 400420410 is 14024004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400420410.

It is not an unprimeable number, because it can be changed into a prime (400420411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212392 + ... + 214268.

It is an arithmetic number, because the mean of its divisors is an integer number (16209018).

Almost surely, 2^400420410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400420410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518688576).

400420410 is an abundant number, since it is smaller than the sum of its proper divisors (636956742).

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

400420410 is a wasteful number, since it uses less digits than its factorization.

400420410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400420410 is about 20010.5074898164. The cubic root of 400420410 is about 737.0643432928.

Adding to 400420410 its reverse (14024004), we get a palindrome (414444414).

The spelling of 400420410 in words is "four hundred million, four hundred twenty thousand, four hundred ten".