1551974400 has 270 divisors, whose sum is σ = 5572552622. Its totient is φ = 412876800.

The previous prime is 1551974393. The next prime is 1551974401. The reversal of 1551974400 is 44791551.

It can be written as a sum of positive squares in 3 ways, for example, as 17842176 + 1534132224 = 4224^2 + 39168^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1551974401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686190 + ... + 3686610.

Almost surely, 2^1551974400 is an apocalyptic number.

1551974400 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 1551974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786276311).

1551974400 is an abundant number, since it is smaller than the sum of its proper divisors (4020578222).

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

1551974400 is an equidigital number, since it uses as much as digits as its factorization.

1551974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1551974400 is about 39395.1062950717. The cubic root of 1551974400 is about 1157.7857085104.

The spelling of 1551974400 in words is "one billion, five hundred fifty-one million, nine hundred seventy-four thousand, four hundred".