1432438560 has 576 divisors, whose sum is σ = 5977722240. Its totient is φ = 319334400.

The previous prime is 1432438541. The next prime is 1432438573. The reversal of 1432438560 is 658342341.

1432438560 is a `hidden beast` number, since 1 + 43 + 24 + 38 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14182510 + ... + 14182610.

It is an arithmetic number, because the mean of its divisors is an integer number (10377990).

Almost surely, 2^1432438560 is an apocalyptic number.

1432438560 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 1432438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988861120).

1432438560 is an abundant number, since it is smaller than the sum of its proper divisors (4545283680).

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

1432438560 is a wasteful number, since it uses less digits than its factorization.

1432438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1432438560 is about 37847.5700673108. The cubic root of 1432438560 is about 1127.2632128292.

The spelling of 1432438560 in words is "one billion, four hundred thirty-two million, four hundred thirty-eight thousand, five hundred sixty".