963493440 has 448 divisors, whose sum is σ = 3871203840. Its totient is φ = 197591040.

The previous prime is 963493417. The next prime is 963493469. The reversal of 963493440 is 44394369.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 963493392 and 963493401.

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, 3581626 + ... + 3581894.

It is an arithmetic number, because the mean of its divisors is an integer number (8641080).

Almost surely, 2^963493440 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 963493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935601920).

963493440 is an abundant number, since it is smaller than the sum of its proper divisors (2907710400).

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

963493440 is a wasteful number, since it uses less digits than its factorization.

963493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 963493440 is about 31040.1907210636. The cubic root of 963493440 is about 987.6799872748.

The spelling of 963493440 in words is "nine hundred sixty-three million, four hundred ninety-three thousand, four hundred forty".