1493528400 has 720 divisors, whose sum is σ = 6581912064. Its totient is φ = 305233920.

The previous prime is 1493528371. The next prime is 1493528431. The reversal of 1493528400 is 48253941.

1493528400 is a `hidden beast` number, since 1 + 4 + 93 + 528 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15397152 + ... + 15397248.

Almost surely, 2^1493528400 is an apocalyptic number.

1493528400 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 1493528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290956032).

1493528400 is an abundant number, since it is smaller than the sum of its proper divisors (5088383664).

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

1493528400 is a wasteful number, since it uses less digits than its factorization.

1493528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1493528400 is about 38646.1951555389. The cubic root of 1493528400 is about 1143.0656176234.

The spelling of 1493528400 in words is "one billion, four hundred ninety-three million, five hundred twenty-eight thousand, four hundred".