407411120 has 40 divisors (see below), whose sum is σ = 1002953664. Its totient is φ = 153377792.

The previous prime is 407411113. The next prime is 407411143. The reversal of 407411120 is 21114704.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 407411092 and 407411101.

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 7 ways as a sum of consecutive naturals, for example, 148424 + ... + 151143.

Almost surely, 2^407411120 is an apocalyptic number.

407411120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407411120 is an abundant number, since it is smaller than the sum of its proper divisors (595542544).

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

407411120 is a wasteful number, since it uses less digits than its factorization.

407411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299597 (or 299591 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 407411120 is about 20184.4276609469. The cubic root of 407411120 is about 741.3289486856.

Adding to 407411120 its reverse (21114704), we get a palindrome (428525824).

The spelling of 407411120 in words is "four hundred seven million, four hundred eleven thousand, one hundred twenty".