4633453440 has 768 divisors, whose sum is σ = 20652503040. Its totient is φ = 928972800.

The previous prime is 4633453399. The next prime is 4633453493. The reversal of 4633453440 is 443543364.

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 = 4633453395 and 4633453404.

It is a congruent number.

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, 13748952 + ... + 13749288.

It is an arithmetic number, because the mean of its divisors is an integer number (26891280).

Almost surely, 2^4633453440 is an apocalyptic number.

4633453440 is a gapful number since it is divisible by the number (40) 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 4633453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326251520).

4633453440 is an abundant number, since it is smaller than the sum of its proper divisors (16019049600).

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

4633453440 is a wasteful number, since it uses less digits than its factorization.

4633453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The square root of 4633453440 is about 68069.4750971388. The cubic root of 4633453440 is about 1667.1253976391.

The spelling of 4633453440 in words is "four billion, six hundred thirty-three million, four hundred fifty-three thousand, four hundred forty".