1431247680 has 672 divisors, whose sum is σ = 5751502848. Its totient is φ = 324403200.

The previous prime is 1431247627. The next prime is 1431247687. The reversal of 1431247680 is 867421341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431247687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34908460 + ... + 34908500.

It is an arithmetic number, because the mean of its divisors is an integer number (8558784).

Almost surely, 2^1431247680 is an apocalyptic number.

1431247680 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 1431247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875751424).

1431247680 is an abundant number, since it is smaller than the sum of its proper divisors (4320255168).

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

1431247680 is a wasteful number, since it uses less digits than its factorization.

1431247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1431247680 is about 37831.8342140584. The cubic root of 1431247680 is about 1126.9507369711.

The spelling of 1431247680 in words is "one billion, four hundred thirty-one million, two hundred forty-seven thousand, six hundred eighty".