1005158400 has 192 divisors, whose sum is σ = 3331799400. Its totient is φ = 267386880.

The previous prime is 1005158393. The next prime is 1005158437. The reversal of 1005158400 is 48515001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457396 + ... + 2457804.

Almost surely, 2^1005158400 is an apocalyptic number.

1005158400 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 1005158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665899700).

1005158400 is an abundant number, since it is smaller than the sum of its proper divisors (2326641000).

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

1005158400 is an frugal number, since it uses more digits than its factorization.

1005158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1005158400 is about 31704.2331558421. The cubic root of 1005158400 is about 1001.7165185449.

The spelling of 1005158400 in words is "one billion, five million, one hundred fifty-eight thousand, four hundred".