4490825400 has 288 divisors, whose sum is σ = 16345002960. Its totient is φ = 1100574720.

The previous prime is 4490825341. The next prime is 4490825431. The reversal of 4490825400 is 45280944.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1314094 + ... + 1317506.

Almost surely, 2^4490825400 is an apocalyptic number.

4490825400 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 4490825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172501480).

4490825400 is an abundant number, since it is smaller than the sum of its proper divisors (11854177560).

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

4490825400 is a wasteful number, since it uses less digits than its factorization.

4490825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4490825400 is about 67013.6210034945. The cubic root of 4490825400 is about 1649.8408661956.

The spelling of 4490825400 in words is "four billion, four hundred ninety million, eight hundred twenty-five thousand, four hundred".