472653720 has 576 divisors, whose sum is σ = 2068934400. Its totient is φ = 90869760.

The previous prime is 472653697. The next prime is 472653733. The reversal of 472653720 is 27356274.

It is a happy number.

472653720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8011051 + ... + 8011109.

It is an arithmetic number, because the mean of its divisors is an integer number (3591900).

Almost surely, 2^472653720 is an apocalyptic number.

472653720 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 472653720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034467200).

472653720 is an abundant number, since it is smaller than the sum of its proper divisors (1596280680).

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

472653720 is a wasteful number, since it uses less digits than its factorization.

472653720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 472653720 is about 21740.6007276708. The cubic root of 472653720 is about 778.9585706903.

The spelling of 472653720 in words is "four hundred seventy-two million, six hundred fifty-three thousand, seven hundred twenty".