405179040 has 384 divisors, whose sum is σ = 1567641600. Its totient is φ = 87757824.

The previous prime is 405179029. The next prime is 405179041. The reversal of 405179040 is 40971504.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 405178989 and 405179007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405179041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3786667 + ... + 3786773.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^405179040 is an apocalyptic number.

405179040 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 405179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

405179040 is an abundant number, since it is smaller than the sum of its proper divisors (1162462560).

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

405179040 is a wasteful number, since it uses less digits than its factorization.

405179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 405179040 is about 20129.0595905522. The cubic root of 405179040 is about 739.9726310793.

The spelling of 405179040 in words is "four hundred five million, one hundred seventy-nine thousand, forty".