1431159408 has 160 divisors (see below), whose sum is σ = 4822072320. Its totient is φ = 397820160.

The previous prime is 1431159377. The next prime is 1431159449. The reversal of 1431159408 is 8049511341.

It is a super-2 number, since 2×1431159408² = 4096434502213820928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105493 + ... + 118283.

It is an arithmetic number, because the mean of its divisors is an integer number (30137952).

Almost surely, 2^1431159408 is an apocalyptic number.

1431159408 is a gapful number since it is divisible by the number (18) 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 1431159408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411036160).

1431159408 is an abundant number, since it is smaller than the sum of its proper divisors (3390912912).

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

1431159408 is a wasteful number, since it uses less digits than its factorization.

1431159408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1431159408 is about 37830.6675595343. The cubic root of 1431159408 is about 1126.9275683185.

The spelling of 1431159408 in words is "one billion, four hundred thirty-one million, one hundred fifty-nine thousand, four hundred eight".