428250240 has 320 divisors, whose sum is σ = 1670613120. Its totient is φ = 103680000.

The previous prime is 428250239. The next prime is 428250259. The reversal of 428250240 is 42052824.

It is a happy number.

428250240 is a `hidden beast` number, since 42 + 82 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569865 + ... + 570615.

It is an arithmetic number, because the mean of its divisors is an integer number (5220666).

Almost surely, 2^428250240 is an apocalyptic number.

428250240 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 428250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835306560).

428250240 is an abundant number, since it is smaller than the sum of its proper divisors (1242362880).

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

428250240 is a wasteful number, since it uses less digits than its factorization.

428250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428250240 is about 20694.2078852997. The cubic root of 428250240 is about 753.7590479348.

The spelling of 428250240 in words is "four hundred twenty-eight million, two hundred fifty thousand, two hundred forty".