1431457920 has 320 divisors, whose sum is σ = 5218444440. Its totient is φ = 373800960.

The previous prime is 1431457889. The next prime is 1431457921. The reversal of 1431457920 is 297541341.

It can be written as a sum of positive squares in 4 ways, for example, as 1150023744 + 281434176 = 33912^2 + 16776^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1431457921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747260 + ... + 2747780.

Almost surely, 2^1431457920 is an apocalyptic number.

1431457920 is a gapful number since it is divisible by the number (10) 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 1431457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609222220).

1431457920 is an abundant number, since it is smaller than the sum of its proper divisors (3786986520).

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

1431457920 is an equidigital number, since it uses as much as digits as its factorization.

1431457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1431457920 is about 37834.6127243296. The cubic root of 1431457920 is about 1127.0059145913.

The spelling of 1431457920 in words is "one billion, four hundred thirty-one million, four hundred fifty-seven thousand, nine hundred twenty".