354417972 has 48 divisors (see below), whose sum is σ = 880165440. Its totient is φ = 110612992.

The previous prime is 354417967. The next prime is 354417977. The reversal of 354417972 is 279714453.

It is an interprime number because it is at equal distance from previous prime (354417967) and next prime (354417977).

It is a super-2 number, since 2×354417972² = 251224197753185568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354417977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35779 + ... + 44597.

It is an arithmetic number, because the mean of its divisors is an integer number (18336780).

Almost surely, 2^354417972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354417972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440082720).

354417972 is an abundant number, since it is smaller than the sum of its proper divisors (525747468).

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

354417972 is a wasteful number, since it uses less digits than its factorization.

354417972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9038 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 354417972 is about 18825.9919260580. The cubic root of 354417972 is about 707.6826995945.

The spelling of 354417972 in words is "three hundred fifty-four million, four hundred seventeen thousand, nine hundred seventy-two".