1460138400 has 864 divisors, whose sum is σ = 6483335040. Its totient is φ = 313528320.

The previous prime is 1460138377. The next prime is 1460138413. The reversal of 1460138400 is 48310641.

1460138400 is a `hidden beast` number, since 14 + 601 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39463182 + ... + 39463218.

It is an arithmetic number, because the mean of its divisors is an integer number (7503860).

Almost surely, 2^1460138400 is an apocalyptic number.

1460138400 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 1460138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

1460138400 is an abundant number, since it is smaller than the sum of its proper divisors (5023196640).

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

1460138400 is a wasteful number, since it uses less digits than its factorization.

1460138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1460138400 is about 38211.7573529405. The cubic root of 1460138400 is about 1134.4830393649.

The spelling of 1460138400 in words is "one billion, four hundred sixty million, one hundred thirty-eight thousand, four hundred".