1254000400 has 60 divisors (see below), whose sum is σ = 3082841872. Its totient is φ = 489928320.

The previous prime is 1254000389. The next prime is 1254000409. The reversal of 1254000400 is 40004521.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1254000409) 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, 19254 + ... + 53653.

Almost surely, 2^1254000400 is an apocalyptic number.

1254000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254000400 is an abundant number, since it is smaller than the sum of its proper divisors (1828841472).

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

1254000400 is a wasteful number, since it uses less digits than its factorization.

1254000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72968 (or 72957 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1254000400 is about 35411.8680670760. The cubic root of 1254000400 is about 1078.3652680496.

Adding to 1254000400 its reverse (40004521), we get a palindrome (1294004921).

It can be divided in two parts, 1254000 and 400, that added together give a square (1254400 = 1120²).

The spelling of 1254000400 in words is "one billion, two hundred fifty-four million, four hundred", and thus it is an aban number.