470553840 has 80 divisors (see below), whose sum is σ = 1620804000. Its totient is φ = 125480448.

The previous prime is 470553833. The next prime is 470553877. The reversal of 470553840 is 48355074.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 470553795 and 470553804.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 106765 + ... + 111084.

It is an arithmetic number, because the mean of its divisors is an integer number (20260050).

Almost surely, 2^470553840 is an apocalyptic number.

470553840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470553840 is an abundant number, since it is smaller than the sum of its proper divisors (1150250160).

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

470553840 is a wasteful number, since it uses less digits than its factorization.

470553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217871 (or 217859 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 470553840 is about 21692.2529950211. The cubic root of 470553840 is about 777.8032866615.

The spelling of 470553840 in words is "four hundred seventy million, five hundred fifty-three thousand, eight hundred forty".