1406246400 has 480 divisors, whose sum is σ = 5576413920. Its totient is φ = 345047040.

The previous prime is 1406246399. The next prime is 1406246407. The reversal of 1406246400 is 46426041.

1406246400 is a `hidden beast` number, since 14 + 0 + 6 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406246407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492644 + ... + 4492956.

It is an arithmetic number, because the mean of its divisors is an integer number (11617529).

Almost surely, 2^1406246400 is an apocalyptic number.

1406246400 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 1406246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788206960).

1406246400 is an abundant number, since it is smaller than the sum of its proper divisors (4170167520).

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

1406246400 is a wasteful number, since it uses less digits than its factorization.

1406246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1406246400 is about 37499.9519999693. The cubic root of 1406246400 is about 1120.3502306055.

The spelling of 1406246400 in words is "one billion, four hundred six million, two hundred forty-six thousand, four hundred".