4417494900 has 288 divisors, whose sum is σ = 15893649408. Its totient is φ = 922406400.

The previous prime is 4417494881. The next prime is 4417494901. The reversal of 4417494900 is 94947144.

It is a super-2 number, since 2×4417494900² = 39028522383052020000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417494901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2811115 + ... + 2812685.

Almost surely, 2^4417494900 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 4417494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946824704).

4417494900 is an abundant number, since it is smaller than the sum of its proper divisors (11476154508).

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

4417494900 is a wasteful number, since it uses less digits than its factorization.

4417494900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4417494900 is about 66464.2377523432. The cubic root of 4417494900 is about 1640.8114787399.

The spelling of 4417494900 in words is "four billion, four hundred seventeen million, four hundred ninety-four thousand, nine hundred".