1253552400 has 90 divisors (see below), whose sum is σ = 4350187530. Its totient is φ = 334279680.

The previous prime is 1253552393. The next prime is 1253552407. The reversal of 1253552400 is 42553521.

It is a happy number.

1253552400 is a `hidden beast` number, since 1 + 253 + 5 + 5 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1253552393) and next prime (1253552407).

It can be written as a sum of positive squares in 3 ways, for example, as 185831424 + 1067720976 = 13632^2 + 32676^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (1253552407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 170505 + ... + 177704.

It is an arithmetic number, because the mean of its divisors is an integer number (48335417).

Almost surely, 2^1253552400 is an apocalyptic number.

1253552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253552400 is an abundant number, since it is smaller than the sum of its proper divisors (3096635130).

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

1253552400 is a wasteful number, since it uses less digits than its factorization.

1253552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348233 (or 348219 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1253552400 is about 35405.5419390807. The cubic root of 1253552400 is about 1078.2368350277.

The spelling of 1253552400 in words is "one billion, two hundred fifty-three million, five hundred fifty-two thousand, four hundred".