4765440 has 144 divisors (see below), whose sum is σ = 16335648. Its totient is φ = 1179648.

The previous prime is 4765427. The next prime is 4765451. The reversal of 4765440 is 445674.

4765440 = T₁₇₉ + T₁₈₀ + ... + T₃₂₄.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4765398 and 4765407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65244 + ... + 65316.

It is an arithmetic number, because the mean of its divisors is an integer number (113442).

Almost surely, 2^4765440 is an apocalyptic number.

4765440 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 4765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167824).

4765440 is an abundant number, since it is smaller than the sum of its proper divisors (11570208).

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

4765440 is a wasteful number, since it uses less digits than its factorization.

4765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4765440 is about 2182.9887768837. The cubic root of 4765440 is about 168.2807098413.

The spelling of 4765440 in words is "four million, seven hundred sixty-five thousand, four hundred forty".