1432483920 has 320 divisors, whose sum is σ = 5971760640. Its totient is φ = 308109312.

The previous prime is 1432483901. The next prime is 1432483931. The reversal of 1432483920 is 293842341.

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 63 ways as a sum of consecutive naturals, for example, 254254 + ... + 259826.

It is an arithmetic number, because the mean of its divisors is an integer number (18661752).

Almost surely, 2^1432483920 is an apocalyptic number.

1432483920 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 1432483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985880320).

1432483920 is an abundant number, since it is smaller than the sum of its proper divisors (4539276720).

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

1432483920 is a wasteful number, since it uses less digits than its factorization.

1432483920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1432483920 is about 37848.1693084355. The cubic root of 1432483920 is about 1127.2751114477.

The spelling of 1432483920 in words is "one billion, four hundred thirty-two million, four hundred eighty-three thousand, nine hundred twenty".