1461974400 has 192 divisors, whose sum is σ = 5350736400. Its totient is φ = 389836800.

The previous prime is 1461974389. The next prime is 1461974401. The reversal of 1461974400 is 44791641.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461974401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77940 + ... + 94860.

Almost surely, 2^1461974400 is an apocalyptic number.

1461974400 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 1461974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675368200).

1461974400 is an abundant number, since it is smaller than the sum of its proper divisors (3888762000).

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

1461974400 is a wasteful number, since it uses less digits than its factorization.

1461974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1461974400 is about 38235.7738250450. The cubic root of 1461974400 is about 1134.9583455509.

The spelling of 1461974400 in words is "one billion, four hundred sixty-one million, nine hundred seventy-four thousand, four hundred".