403630128 has 200 divisors, whose sum is σ = 1330914816. Its totient is φ = 116899200.

The previous prime is 403630127. The next prime is 403630153. The reversal of 403630128 is 821036304.

It is a happy number.

403630128 is a `hidden beast` number, since 4 + 0 + 3 + 630 + 1 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (403630127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327273 + ... + 328503.

Almost surely, 2^403630128 is an apocalyptic number.

403630128 is a gapful number since it is divisible by the number (48) 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 403630128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

403630128 is an abundant number, since it is smaller than the sum of its proper divisors (927284688).

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

403630128 is a wasteful number, since it uses less digits than its factorization.

403630128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 403630128 is about 20090.5482254716. The cubic root of 403630128 is about 739.0285084552.

The spelling of 403630128 in words is "four hundred three million, six hundred thirty thousand, one hundred twenty-eight".