354632040 has 256 divisors, whose sum is σ = 1374912000. Its totient is φ = 79626240.

The previous prime is 354632023. The next prime is 354632077. The reversal of 354632040 is 40236453.

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

It is a junction number, because it is equal to n+sod(n) for n = 354631995 and 354632013.

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 63 ways as a sum of consecutive naturals, for example, 460776 + ... + 461544.

It is an arithmetic number, because the mean of its divisors is an integer number (5370750).

Almost surely, 2^354632040 is an apocalyptic number.

354632040 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 354632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

354632040 is an abundant number, since it is smaller than the sum of its proper divisors (1020279960).

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

354632040 is a wasteful number, since it uses less digits than its factorization.

354632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 354632040 is about 18831.6765052929. The cubic root of 354632040 is about 707.8251507322.

Adding to 354632040 its reverse (40236453), we get a palindrome (394868493).

The spelling of 354632040 in words is "three hundred fifty-four million, six hundred thirty-two thousand, forty".