1431213952 has 192 divisors, whose sum is σ = 3633517440. Its totient is φ = 557383680.

The previous prime is 1431213947. The next prime is 1431214039. The reversal of 1431213952 is 2593121341.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3305128 + ... + 3305560.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2^1431213952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816758720).

1431213952 is an abundant number, since it is smaller than the sum of its proper divisors (2202303488).

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

1431213952 is a wasteful number, since it uses less digits than its factorization.

1431213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 1431213952 is about 37831.3884492758. The cubic root of 1431213952 is about 1126.9418845333.

The spelling of 1431213952 in words is "one billion, four hundred thirty-one million, two hundred thirteen thousand, nine hundred fifty-two".