4446474240 has 416 divisors, whose sum is σ = 16182794880. Its totient is φ = 1033371648.

The previous prime is 4446474233. The next prime is 4446474251. The reversal of 4446474240 is 424746444.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×4446474240² = 39542266333967155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15175534 + ... + 15175826.

Almost surely, 2^4446474240 is an apocalyptic number.

4446474240 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 4446474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091397440).

4446474240 is an abundant number, since it is smaller than the sum of its proper divisors (11736320640).

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

4446474240 is a wasteful number, since it uses less digits than its factorization.

4446474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 39.

The square root of 4446474240 is about 66681.8883955756. Note that the first 3 decimals coincide. The cubic root of 4446474240 is about 1644.3916401084.

The spelling of 4446474240 in words is "four billion, four hundred forty-six million, four hundred seventy-four thousand, two hundred forty".