1001924400 has 120 divisors (see below), whose sum is σ = 3219426880. Its totient is φ = 266353920.

The previous prime is 1001924387. The next prime is 1001924423. The reversal of 1001924400 is 44291001.

1001924400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453699 + ... + 455901.

Almost surely, 2^1001924400 is an apocalyptic number.

1001924400 is a gapful number since it is divisible by the number (10) 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 1001924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609713440).

1001924400 is an abundant number, since it is smaller than the sum of its proper divisors (2217502480).

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

1001924400 is a wasteful number, since it uses less digits than its factorization.

1001924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1001924400 is about 31653.1894127590. The cubic root of 1001924400 is about 1000.6410556265.

The spelling of 1001924400 in words is "one billion, one million, nine hundred twenty-four thousand, four hundred".