431401520 has 80 divisors (see below), whose sum is σ = 1158595488. Its totient is φ = 147640320.

The previous prime is 431401519. The next prime is 431401559. The reversal of 431401520 is 25104134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×431401520² = 372214542916620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 431401492 and 431401501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542 + ... + 29378.

Almost surely, 2^431401520 is an apocalyptic number.

431401520 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 431401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579297744).

431401520 is an abundant number, since it is smaller than the sum of its proper divisors (727193968).

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

431401520 is a wasteful number, since it uses less digits than its factorization.

431401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28878 (or 28872 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 431401520 is about 20770.2075097963. The cubic root of 431401520 is about 755.6033771474.

Adding to 431401520 its reverse (25104134), we get a palindrome (456505654).

The spelling of 431401520 in words is "four hundred thirty-one million, four hundred one thousand, five hundred twenty".