432401040 has 60 divisors (see below), whose sum is σ = 1452149244. Its totient is φ = 115306752.

The previous prime is 432401023. The next prime is 432401041. The reversal of 432401040 is 40104234.

It can be written as a sum of positive squares in 2 ways, for example, as 254338704 + 178062336 = 15948^2 + 13344^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432401041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299559 + ... + 300998.

Almost surely, 2^432401040 is an apocalyptic number.

432401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432401040 is an abundant number, since it is smaller than the sum of its proper divisors (1019748204).

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

432401040 is a wasteful number, since it uses less digits than its factorization.

432401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600576 (or 600567 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 432401040 is about 20794.2549758341. The cubic root of 432401040 is about 756.1864829289.

Adding to 432401040 its reverse (40104234), we get a palindrome (472505274).

The spelling of 432401040 in words is "four hundred thirty-two million, four hundred one thousand, forty".