428790240 has 96 divisors (see below), whose sum is σ = 1500780960. Its totient is φ = 114342912.

The previous prime is 428790221. The next prime is 428790293. The reversal of 428790240 is 42097824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×428790240² = 367722139838515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428790195 and 428790204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45309 + ... + 53948.

It is an arithmetic number, because the mean of its divisors is an integer number (15633135).

Almost surely, 2^428790240 is an apocalyptic number.

428790240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428790240 is an abundant number, since it is smaller than the sum of its proper divisors (1071990720).

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

428790240 is a wasteful number, since it uses less digits than its factorization.

428790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99281 (or 99267 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 428790240 is about 20707.2509039708. The cubic root of 428790240 is about 754.0757311002.

The spelling of 428790240 in words is "four hundred twenty-eight million, seven hundred ninety thousand, two hundred forty".