462777940 has 96 divisors (see below), whose sum is σ = 1061786880. Its totient is φ = 168892416.

The previous prime is 462777923. The next prime is 462777943. The reversal of 462777940 is 49777264.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462777943) 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, 1507267 + ... + 1507573.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2^462777940 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 462777940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530893440).

462777940 is an abundant number, since it is smaller than the sum of its proper divisors (599008940).

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

462777940 is a wasteful number, since it uses less digits than its factorization.

462777940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 462777940 is about 21512.2741708077. The cubic root of 462777940 is about 773.4950691414.

The spelling of 462777940 in words is "four hundred sixty-two million, seven hundred seventy-seven thousand, nine hundred forty".