405013770 has 160 divisors (see below), whose sum is σ = 1266097536. Its totient is φ = 90979200.

The previous prime is 405013769. The next prime is 405013771. The reversal of 405013770 is 77310504.

It is an interprime number because it is at equal distance from previous prime (405013769) and next prime (405013771).

It is a super-2 number, since 2×405013770² = 328072307779225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405013771) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345285 + ... + 346455.

Almost surely, 2^405013770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405013770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633048768).

405013770 is an abundant number, since it is smaller than the sum of its proper divisors (861083766).

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

405013770 is a wasteful number, since it uses less digits than its factorization.

405013770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 405013770 is about 20124.9539129907. The cubic root of 405013770 is about 739.8720073252.

The spelling of 405013770 in words is "four hundred five million, thirteen thousand, seven hundred seventy".