1471254400 has 288 divisors, whose sum is σ = 4617595080. Its totient is φ = 458035200.

The previous prime is 1471254383. The next prime is 1471254427. The reversal of 1471254400 is 44521741.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1724374 + ... + 1725226.

Almost surely, 2^1471254400 is an apocalyptic number.

1471254400 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 1471254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308797540).

1471254400 is an abundant number, since it is smaller than the sum of its proper divisors (3146340680).

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

1471254400 is a wasteful number, since it uses less digits than its factorization.

1471254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 1471254400 is about 38356.9341840560. The cubic root of 1471254400 is about 1137.3546954435.

It can be divided in two parts, 147125 and 4400, that added together give a triangular number (151525 = T₅₅₀).

The spelling of 1471254400 in words is "one billion, four hundred seventy-one million, two hundred fifty-four thousand, four hundred".