463428000 has 384 divisors, whose sum is σ = 1931005440. Its totient is φ = 105753600.

The previous prime is 463427977. The next prime is 463428001. The reversal of 463428000 is 824364.

463428000 is a `hidden beast` number, since 4 + 634 + 28 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×463428000² = 429531022368000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (463428001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755694 + ... + 756306.

It is an arithmetic number, because the mean of its divisors is an integer number (5028660).

Almost surely, 2^463428000 is an apocalyptic number.

463428000 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 463428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965502720).

463428000 is an abundant number, since it is smaller than the sum of its proper divisors (1467577440).

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

463428000 is a wasteful number, since it uses less digits than its factorization.

463428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 463428000 is about 21527.3779174334. The cubic root of 463428000 is about 773.8570735428.

The spelling of 463428000 in words is "four hundred sixty-three million, four hundred twenty-eight thousand".