425254200 has 288 divisors, whose sum is σ = 1607932800. Its totient is φ = 90823680.

The previous prime is 425254189. The next prime is 425254217. The reversal of 425254200 is 2452524.

It is a happy number.

It is a super-2 number, since 2×425254200² = 361682269235280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5825364 + ... + 5825436.

It is an arithmetic number, because the mean of its divisors is an integer number (5583100).

Almost surely, 2^425254200 is an apocalyptic number.

425254200 is a gapful number since it is divisible by the number (40) 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 425254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803966400).

425254200 is an abundant number, since it is smaller than the sum of its proper divisors (1182678600).

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

425254200 is a wasteful number, since it uses less digits than its factorization.

425254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 425254200 is about 20621.6924620653. The cubic root of 425254200 is about 751.9971659392.

The spelling of 425254200 in words is "four hundred twenty-five million, two hundred fifty-four thousand, two hundred".