4465238400 has 960 divisors, whose sum is σ = 19834087680. Its totient is φ = 967127040.

The previous prime is 4465238389. The next prime is 4465238429. The reversal of 4465238400 is 48325644.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 41731147 + ... + 41731253.

It is an arithmetic number, because the mean of its divisors is an integer number (20660508).

Almost surely, 2^4465238400 is an apocalyptic number.

4465238400 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 4465238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917043840).

4465238400 is an abundant number, since it is smaller than the sum of its proper divisors (15368849280).

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

4465238400 is a wasteful number, since it uses less digits than its factorization.

4465238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4465238400 is about 66822.4393448788. The cubic root of 4465238400 is about 1646.7015096046.

The spelling of 4465238400 in words is "four billion, four hundred sixty-five million, two hundred thirty-eight thousand, four hundred".