428490000 has 375 divisors, whose sum is σ = 1620030643. Its totient is φ = 109296000.

The previous prime is 428489989. The next prime is 428490019. The reversal of 428490000 is 94824.

The square root of 428490000 is 20700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 394896384 = 5796^2 + 19872^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 18629989 + ... + 18630011.

Almost surely, 2^428490000 is an apocalyptic number.

428490000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

428490000 is the 20700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428490000

428490000 is an abundant number, since it is smaller than the sum of its proper divisors (1191540643).

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

428490000 is an equidigital number, since it uses as much as digits as its factorization.

428490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 428490000 is about 753.8996881001.

Multiplying 428490000 by its product of nonzero digits (2304), we get a square (987240960000 = 993600²).

The spelling of 428490000 in words is "four hundred twenty-eight million, four hundred ninety thousand".