402433440 has 48 divisors (see below), whose sum is σ = 1267666848. Its totient is φ = 107315456.

The previous prime is 402433439. The next prime is 402433453. The reversal of 402433440 is 44334204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402433440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418722 + ... + 419681.

It is an arithmetic number, because the mean of its divisors is an integer number (26409726).

Almost surely, 2^402433440 is an apocalyptic number.

402433440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402433440 is an abundant number, since it is smaller than the sum of its proper divisors (865233408).

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

402433440 is a wasteful number, since it uses less digits than its factorization.

402433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838421 (or 838413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 402433440 is about 20060.7437549060. The cubic root of 402433440 is about 738.2974249355.

Adding to 402433440 its reverse (44334204), we get a palindrome (446767644).

The spelling of 402433440 in words is "four hundred two million, four hundred thirty-three thousand, four hundred forty".