464209920 has 384 divisors, whose sum is σ = 1745452800. Its totient is φ = 116785152.

The previous prime is 464209901. The next prime is 464209937. The reversal of 464209920 is 29902464.

464209920 is a `hidden beast` number, since 4 + 642 + 0 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6359004 + ... + 6359076.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2^464209920 is an apocalyptic number.

464209920 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 464209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872726400).

464209920 is an abundant number, since it is smaller than the sum of its proper divisors (1281242880).

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

464209920 is a wasteful number, since it uses less digits than its factorization.

464209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 464209920 is about 21545.5313232234. The cubic root of 464209920 is about 774.2920597226.

The spelling of 464209920 in words is "four hundred sixty-four million, two hundred nine thousand, nine hundred twenty".