354407040 has 192 divisors, whose sum is σ = 1318229640. Its totient is φ = 87220224.

The previous prime is 354407021. The next prime is 354407051. The reversal of 354407040 is 40704453.

It can be written as a sum of positive squares in 4 ways, for example, as 159971904 + 194435136 = 12648^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 354406995 and 354407013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72514 + ... + 77246.

Almost surely, 2^354407040 is an apocalyptic number.

354407040 is a gapful number since it is divisible by the number (30) 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 354407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659114820).

354407040 is an abundant number, since it is smaller than the sum of its proper divisors (963822600).

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

354407040 is a wasteful number, since it uses less digits than its factorization.

354407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 354407040 is about 18825.7015805521. The cubic root of 354407040 is about 707.6754233769.

The spelling of 354407040 in words is "three hundred fifty-four million, four hundred seven thousand, forty".