406701120 has 112 divisors (see below), whose sum is σ = 1475768448. Its totient is φ = 92958720.

The previous prime is 406701109. The next prime is 406701131. The reversal of 406701120 is 21107604.

It is an interprime number because it is at equal distance from previous prime (406701109) and next prime (406701131).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23541 + ... + 36980.

It is an arithmetic number, because the mean of its divisors is an integer number (13176504).

Almost surely, 2^406701120 is an apocalyptic number.

406701120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406701120 is an abundant number, since it is smaller than the sum of its proper divisors (1069067328).

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

406701120 is a wasteful number, since it uses less digits than its factorization.

406701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60548 (or 60538 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 406701120 is about 20166.8321756294. The cubic root of 406701120 is about 740.8980574809.

Adding to 406701120 its reverse (21107604), we get a palindrome (427808724).

The spelling of 406701120 in words is "four hundred six million, seven hundred one thousand, one hundred twenty".