1432242864 has 160 divisors (see below), whose sum is σ = 4454923200. Its totient is φ = 437944320.

The previous prime is 1432242827. The next prime is 1432242899. The reversal of 1432242864 is 4682422341.

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

It is a nude number because it is divisible by every one of its digits.

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, 1015792 + ... + 1017200.

It is an arithmetic number, because the mean of its divisors is an integer number (27843270).

Almost surely, 2^1432242864 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 1432242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227461600).

1432242864 is an abundant number, since it is smaller than the sum of its proper divisors (3022680336).

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

1432242864 is a wasteful number, since it uses less digits than its factorization.

1432242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1608 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 1432242864 is about 37844.9846611146. The cubic root of 1432242864 is about 1127.2118759099.

The spelling of 1432242864 in words is "one billion, four hundred thirty-two million, two hundred forty-two thousand, eight hundred sixty-four".