462615420 has 96 divisors (see below), whose sum is σ = 1369670400. Its totient is φ = 116342784.

The previous prime is 462615383. The next prime is 462615421. The reversal of 462615420 is 24516264.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462615421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292191 + ... + 293769.

It is an arithmetic number, because the mean of its divisors is an integer number (14267400).

Almost surely, 2^462615420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462615420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684835200).

462615420 is an abundant number, since it is smaller than the sum of its proper divisors (907054980).

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

462615420 is a wasteful number, since it uses less digits than its factorization.

462615420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 462615420 is about 21508.4964607013. The cubic root of 462615420 is about 773.4045122917.

It can be divided in two parts, 46261 and 5420, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 462615420 in words is "four hundred sixty-two million, six hundred fifteen thousand, four hundred twenty".