1461672800 has 72 divisors (see below), whose sum is σ = 4078082736. Its totient is φ = 501143040.

The previous prime is 1461672791. The next prime is 1461672809. The reversal of 1461672800 is 82761641.

It is an interprime number because it is at equal distance from previous prime (1461672791) and next prime (1461672809).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461672809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124907 + ... + 136106.

It is an arithmetic number, because the mean of its divisors is an integer number (56640038).

Almost surely, 2^1461672800 is an apocalyptic number.

1461672800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461672800 is an abundant number, since it is smaller than the sum of its proper divisors (2616409936).

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

1461672800 is a wasteful number, since it uses less digits than its factorization.

1461672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261040 (or 261027 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1461672800 is about 38231.8296711000. The cubic root of 1461672800 is about 1134.8802942576.

The spelling of 1461672800 in words is "one billion, four hundred sixty-one million, six hundred seventy-two thousand, eight hundred".