1496678400 has 576 divisors, whose sum is σ = 6338545200. Its totient is φ = 330301440.

The previous prime is 1496678399. The next prime is 1496678401. The reversal of 1496678400 is 48766941.

It is an interprime number because it is at equal distance from previous prime (1496678399) and next prime (1496678401).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1496678401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51609586 + ... + 51609614.

Almost surely, 2^1496678400 is an apocalyptic number.

1496678400 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 1496678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169272600).

1496678400 is an abundant number, since it is smaller than the sum of its proper divisors (4841866800).

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

1496678400 is an equidigital number, since it uses as much as digits as its factorization.

1496678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1496678400 is about 38686.9280248510. The cubic root of 1496678400 is about 1143.8686663583.

The spelling of 1496678400 in words is "one billion, four hundred ninety-six million, six hundred seventy-eight thousand, four hundred".