963414432 has 96 divisors (see below), whose sum is σ = 2932191360. Its totient is φ = 307169280.

The previous prime is 963414427. The next prime is 963414461. The reversal of 963414432 is 234414369.

It is a happy number.

963414432 is a `hidden beast` number, since 9 + 634 + 14 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4369 + ... + 44112.

It is an arithmetic number, because the mean of its divisors is an integer number (30543660).

Almost surely, 2^963414432 is an apocalyptic number.

963414432 is a gapful number since it is divisible by the number (92) 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 963414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466095680).

963414432 is an abundant number, since it is smaller than the sum of its proper divisors (1968776928).

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

963414432 is a wasteful number, since it uses less digits than its factorization.

963414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48523 (or 48509 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 963414432 is about 31038.9180223796. The cubic root of 963414432 is about 987.6529894250.

The spelling of 963414432 in words is "nine hundred sixty-three million, four hundred fourteen thousand, four hundred thirty-two".