4620000 has 240 divisors, whose sum is σ = 18893952. Its totient is φ = 960000.

The previous prime is 4619981. The next prime is 4620001. The reversal of 4620000 is 264.

4620000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4620000³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4620001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419995 + ... + 420005.

Almost surely, 2^4620000 is an apocalyptic number.

4620000 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 4620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446976).

4620000 is an abundant number, since it is smaller than the sum of its proper divisors (14273952).

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

4620000 is a wasteful number, since it uses less digits than its factorization.

4620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4620000 is about 2149.4185260205. The cubic root of 4620000 is about 166.5510308999.

Adding to 4620000 its reverse (264), we get a palindrome (4620264).

The spelling of 4620000 in words is "four million, six hundred twenty thousand".