1005150400 has 42 divisors (see below), whose sum is σ = 2473302140. Its totient is φ = 402059520.

The previous prime is 1005150379. The next prime is 1005150427. The reversal of 1005150400 is 40515001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312510 + ... + 315709.

Almost surely, 2^1005150400 is an apocalyptic number.

1005150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005150400 is an abundant number, since it is smaller than the sum of its proper divisors (1468151740).

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

1005150400 is an equidigital number, since it uses as much as digits as its factorization.

1005150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628241 (or 628226 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1005150400 is about 31704.1069894738. The cubic root of 1005150400 is about 1001.7138610024.

Adding to 1005150400 its reverse (40515001), we get a palindrome (1045665401).

The spelling of 1005150400 in words is "one billion, five million, one hundred fifty thousand, four hundred".