1493810400 has 576 divisors, whose sum is σ = 5669637120. Its totient is φ = 339148800.

The previous prime is 1493810399. The next prime is 1493810429. The reversal of 1493810400 is 40183941.

It is a happy number.

It is a super-2 number, since 2×1493810400² = 4462939022296320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31783177 + ... + 31783223.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^1493810400 is an apocalyptic number.

1493810400 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 1493810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

1493810400 is an abundant number, since it is smaller than the sum of its proper divisors (4175826720).

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

1493810400 is a wasteful number, since it uses less digits than its factorization.

1493810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1493810400 is about 38649.8434666947. The cubic root of 1493810400 is about 1143.1375555967.

The spelling of 1493810400 in words is "one billion, four hundred ninety-three million, eight hundred ten thousand, four hundred".