420765510 has 64 divisors (see below), whose sum is σ = 1109687040. Its totient is φ = 101258880.

The previous prime is 420765491. The next prime is 420765539. The reversal of 420765510 is 15567024.

It is a super-2 number, since 2×420765510² = 354087228811120200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41284 + ... + 50456.

It is an arithmetic number, because the mean of its divisors is an integer number (17338860).

Almost surely, 2^420765510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420765510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554843520).

420765510 is an abundant number, since it is smaller than the sum of its proper divisors (688921530).

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

420765510 is a wasteful number, since it uses less digits than its factorization.

420765510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 420765510 is about 20512.5695611252. The cubic root of 420765510 is about 749.3419472354.

It can be divided in two parts, 42076 and 5510, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 420765510 in words is "four hundred twenty million, seven hundred sixty-five thousand, five hundred ten".