400242330 has 64 divisors (see below), whose sum is σ = 1069614720. Its totient is φ = 106501248.

The previous prime is 400242329. The next prime is 400242331. The reversal of 400242330 is 33242004.

It is an interprime number because it is at equal distance from previous prime (400242329) and next prime (400242331).

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

It is not an unprimeable number, because it can be changed into a prime (400242331) 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, 150694 + ... + 153326.

It is an arithmetic number, because the mean of its divisors is an integer number (16712730).

Almost surely, 2^400242330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400242330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534807360).

400242330 is an abundant number, since it is smaller than the sum of its proper divisors (669372390).

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

400242330 is a wasteful number, since it uses less digits than its factorization.

400242330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400242330 is about 20006.0573327180. The cubic root of 400242330 is about 736.9550615831.

Adding to 400242330 its reverse (33242004), we get a palindrome (433484334).

The spelling of 400242330 in words is "four hundred million, two hundred forty-two thousand, three hundred thirty".