254780400 has 240 divisors, whose sum is σ = 953312000. Its totient is φ = 58141440.

The previous prime is 254780371. The next prime is 254780419. The reversal of 254780400 is 4087452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411291 + ... + 411909.

Almost surely, 2^254780400 is an apocalyptic number.

254780400 is a gapful number since it is divisible by the number (20) 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 254780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476656000).

254780400 is an abundant number, since it is smaller than the sum of its proper divisors (698531600).

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

254780400 is a wasteful number, since it uses less digits than its factorization.

254780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 254780400 is about 15961.8419989674. The cubic root of 254780400 is about 633.9504849095.

The spelling of 254780400 in words is "two hundred fifty-four million, seven hundred eighty thousand, four hundred".