1352078400 has 84 divisors (see below), whose sum is σ = 4435959632. Its totient is φ = 360552960.

The previous prime is 1352078381. The next prime is 1352078407. The reversal of 1352078400 is 48702531.

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

It is not an unprimeable number, because it can be changed into a prime (1352078407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136042 + ... + 145641.

Almost surely, 2^1352078400 is an apocalyptic number.

1352078400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352078400 is an abundant number, since it is smaller than the sum of its proper divisors (3083881232).

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

1352078400 is a wasteful number, since it uses less digits than its factorization.

1352078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281708 (or 281693 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1352078400 is about 36770.6187057003. The cubic root of 1352078400 is about 1105.7763358900.

The spelling of 1352078400 in words is "one billion, three hundred fifty-two million, seventy-eight thousand, four hundred".