486429840 has 320 divisors, whose sum is σ = 1912377600. Its totient is φ = 112582656.

The previous prime is 486429833. The next prime is 486429841. The reversal of 486429840 is 48924684.

486429840 is a `hidden beast` number, since 486 + 42 + 98 + 40 = 666.

It is a super-2 number, since 2×486429840² = 473227978484851200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (486429841) 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, 476851 + ... + 477869.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^486429840 is an apocalyptic number.

486429840 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 486429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800).

486429840 is an abundant number, since it is smaller than the sum of its proper divisors (1425947760).

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

486429840 is a wasteful number, since it uses less digits than its factorization.

486429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 486429840 is about 22055.1544995722. The cubic root of 486429840 is about 786.4541399777.

The spelling of 486429840 in words is "four hundred eighty-six million, four hundred twenty-nine thousand, eight hundred forty".