428053440 has 224 divisors, whose sum is σ = 1422074880. Its totient is φ = 108998656.

The previous prime is 428053411. The next prime is 428053463. The reversal of 428053440 is 44350824.

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

It is a junction number, because it is equal to n+sod(n) for n = 428053398 and 428053407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391271 + ... + 2391449.

Almost surely, 2^428053440 is an apocalyptic number.

428053440 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 428053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711037440).

428053440 is an abundant number, since it is smaller than the sum of its proper divisors (994021440).

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

428053440 is a wasteful number, since it uses less digits than its factorization.

428053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 428053440 is about 20689.4523852131. The cubic root of 428053440 is about 753.6435683269.

The spelling of 428053440 in words is "four hundred twenty-eight million, fifty-three thousand, four hundred forty".