1352570400 has 180 divisors, whose sum is σ = 4932797562. Its totient is φ = 360668160.

The previous prime is 1352570399. The next prime is 1352570419. The reversal of 1352570400 is 40752531.

It is a happy number.

1352570400 is a `hidden beast` number, since 1 + 3 + 5 + 257 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 890664336 + 461906064 = 29844^2 + 21492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54364 + ... + 75236.

Almost surely, 2^1352570400 is an apocalyptic number.

1352570400 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 1352570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466398781).

1352570400 is an abundant number, since it is smaller than the sum of its proper divisors (3580227162).

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

1352570400 is a wasteful number, since it uses less digits than its factorization.

1352570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20905 (or 20883 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1352570400 is about 36777.3082212388. The cubic root of 1352570400 is about 1105.9104444794.

The spelling of 1352570400 in words is "one billion, three hundred fifty-two million, five hundred seventy thousand, four hundred".