96463440 has 320 divisors, whose sum is σ = 366405120. Its totient is φ = 23224320.

The previous prime is 96463429. The next prime is 96463463. The reversal of 96463440 is 4436469.

96463440 is a `hidden beast` number, since 9 + 646 + 3 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 96463395 and 96463404.

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, 1358605 + ... + 1358675.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 2^96463440 is an apocalyptic number.

96463440 is a gapful number since it is divisible by the number (90) 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 96463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

96463440 is an abundant number, since it is smaller than the sum of its proper divisors (269941680).

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

96463440 is a wasteful number, since it uses less digits than its factorization.

96463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

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

The square root of 96463440 is about 9821.5803209056. The cubic root of 96463440 is about 458.6213289346.

The spelling of 96463440 in words is "ninety-six million, four hundred sixty-three thousand, four hundred forty".