1005461400 has 48 divisors (see below), whose sum is σ = 3116932200. Its totient is φ = 268122880.

The previous prime is 1005461381. The next prime is 1005461417. The reversal of 1005461400 is 41645001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837285 + ... + 838484.

Almost surely, 2^1005461400 is an apocalyptic number.

1005461400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005461400 is an abundant number, since it is smaller than the sum of its proper divisors (2111470800).

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

1005461400 is a wasteful number, since it uses less digits than its factorization.

1005461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675788 (or 1675779 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1005461400 is about 31709.0113374731. The cubic root of 1005461400 is about 1001.8171625867.

The spelling of 1005461400 in words is "one billion, five million, four hundred sixty-one thousand, four hundred".